Calculus Examples

$lim_{x \to \infty} x \sin (\frac{9 x}{x})$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

$lim_{x \to \infty} x \sin (\frac{9 x}{x})$

Step 1.2

Divide $9$ by $1$ .

$lim_{x \to \infty} x \sin (9)$

Step 2

Factor $3$ out of $9$ .

$lim_{x \to \infty} x \sin (3 (3))$

Step 3

Apply the sine triple-angle identity.

$lim_{x \to \infty} x (- 4 \sin^{3} (3) + 3 \sin (3))$

Step 4

Multiply by $1$ .

$lim_{x \to \infty} x (- 4 \sin^{3} (3 \cdot 1) + 3 \sin (3))$

Step 5

Apply the sine triple-angle identity.

$lim_{x \to \infty} x (- 4 {(- 4 \sin^{3} (1) + 3 \sin (1))}^{3} + 3 \sin (3))$

Step 6

Multiply by $1$ .

$lim_{x \to \infty} x (- 4 {(- 4 \sin^{3} (1) + 3 \sin (1))}^{3} + 3 \sin (3 \cdot 1))$

Step 7

Apply the sine triple-angle identity.

$lim_{x \to \infty} x (- 4 {(- 4 \sin^{3} (1) + 3 \sin (1))}^{3} + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 8

Use the Binomial Theorem.

$lim_{x \to \infty} x (- 4 ({(- 4 \sin^{3} (1))}^{3} + 3 {(- 4 \sin^{3} (1))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9

Simplify by multiplying through.

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Step 9.1

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 ({(- 4 (\sin (1) \sin^{2} (1)))}^{3} + 3 {(- 4 \sin^{3} (1))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2

Apply basic rules of exponents.

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Step 9.2.1

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 ({(- 4 (\sin (1) (\sin (1) \sin (1))))}^{3} + 3 {(- 4 \sin^{3} (1))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.2

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) {(- 4 (\sin (1) (\sin (1) \sin (1))))}^{2} + 3 {(- 4 \sin^{3} (1))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.3

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 {(- 4 \sin^{3} (1))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.4

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 {(- 4 (\sin (1) \sin^{2} (1)))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.5

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 {(- 4 (\sin (1) (\sin (1) \sin (1))))}^{2} (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.6

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 \sin^{3} (1)) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.7

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) \sin^{2} (1))) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.8

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) {(3 \sin (1))}^{2} + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.9

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))) + {(3 \sin (1))}^{3}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.10

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))) + 3 \sin (1) {(3 \sin (1))}^{2}) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.11

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))) + 3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 \sin^{3} (1) + 3 \sin (1)))$

Step 9.2.12

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))) + 3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 (\sin (1) \sin^{2} (1)) + 3 \sin (1)))$

Step 9.2.13

Rewrite the exponentiation as a product.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))) + 3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) + 3 \sin (1)))$

Step 9.3

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)) + 3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1)))) - 4 (3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) + 3 \sin (1)))$

Step 9.4

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1)))) - 4 (3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) + 3 \sin (1)))$

Step 9.5

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1)))))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1)))) - 4 (3 \sin (1) (3 \sin (1) (3 \sin (1)))) + 3 (- 4 (\sin (1) (\sin (1) \sin (1))) + 3 \sin (1)))$

Step 9.6

Apply the distributive property.

Step 9.7

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1)))))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1)))) - 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) + 3 (3 \sin (1)))$

Step 9.8

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1)))))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) + 3 (3 \sin (1)))$

Step 9.9

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1)))))) - 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) + 3 (3 \sin (1)))$

Step 9.10

Apply the distributive property.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) + 3 (3 \sin (1)))$

Step 9.11

Apply the distributive property.

Step 9.12

Simplify the expression.

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Step 9.12.1

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 (\sin (1) \sin (1)) \sin (1) (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.2

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 (\sin (1) \sin (1)) \sin (1) (- 4 (\sin (1) (\sin (1) \sin (1))))))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.3

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1) \sin (1) (- 4 (\sin (1) \sin (1)) \sin (1))))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.4

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1)) \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.5

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1)) \sin (1) \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.6

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.7

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.8

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.9

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.10

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.11

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.12

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.13

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.14

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \cdot - 4) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.15

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \sin (1) \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.16

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \sin (1) \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.17

Move $\sin (1)$ .

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.18

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.19

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.20

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.21

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.22

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.23

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.24

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.25

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.26

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4 \cdot - 4) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.27

Move parentheses.

$lim_{x \to \infty} x (- 4 (- 4 \cdot - 4) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.28

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.29

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.30

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.31

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.32

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.33

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.34

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.35

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.36

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4 \cdot - 4) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.37

Move parentheses.

$lim_{x \to \infty} x (- 4 \cdot - 4 \cdot - 4) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.38

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1))) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.39

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) \sin (1)) \sin (1) (- 4 (\sin (1) (\sin (1) \sin (1))))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.40

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \sin (1) \sin (1) (- 4 (\sin (1) \sin (1)) \sin (1))) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.41

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1) \sin (1)) \sin (1)) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.42

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \sin (1) \sin (1) (- 4 \sin (1)) \sin (1) \sin (1)) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.43

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \sin (1) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.44

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.45

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.46

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.47

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.48

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.49

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.50

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.51

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \cdot - 4) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) (3 \sin (1)))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.52

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \cdot 3 \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.53

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \sin (1) \cdot 3 \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.54

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \sin (1) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.55

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \sin (1) \sin (1) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.56

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \sin (1) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.57

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.58

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.59

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.60

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.61

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.62

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.63

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.64

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4 \cdot 3) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.65

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot - 4) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.66

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4) \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.67

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.68

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.69

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.70

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.71

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.72

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.73

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4 \cdot 3) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.74

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.75

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) (\sin (1) \sin (1)))) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.76

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 (\sin (1) \sin (1)) \sin (1)) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.77

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1) \sin (1)) \sin (1) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.78

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 (- 4 \sin (1)) \sin (1) \sin (1) (3 \sin (1) (3 \sin (1))))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.79

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \sin (1) \sin (1) \sin (1) (3 \cdot 3 \sin (1) \sin (1)))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.80

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \sin (1) \sin (1) \sin (1) (3 \cdot 3 \sin (1)) \sin (1))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.81

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \sin (1) \sin (1) \sin (1) (3 \cdot 3) \sin (1) \sin (1))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.82

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \sin (1) \sin (1) \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.83

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \sin (1) \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.84

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1))) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.85

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.86

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.87

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.88

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.89

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3 \cdot 3) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.90

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4 \cdot 3) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.91

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot - 4) \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1)) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.92

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1)) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.93

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1)) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.94

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3 \cdot 3 \sin (1) \sin (1)) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.95

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3 \cdot 3 \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.96

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3 \cdot 3) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.97

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.98

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \sin (1) (3 \sin (1))))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.99

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \cdot 3 \sin (1) \sin (1)))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.100

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \cdot 3 \sin (1)) \sin (1))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.101

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \sin (1) (3 \cdot 3) \sin (1) \sin (1))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.102

Move $\sin (1)$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot 3 \cdot 3 \sin (1) \sin (1) \sin (1))) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.103

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot 3 \cdot 3 \sin (1) \sin (1)) \sin (1)) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.104

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot 3 \cdot 3 \sin (1)) \sin (1) \sin (1)) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.105

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot 3 \cdot 3) \sin (1) \sin (1) \sin (1)) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.106

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 (3 \cdot 3) \cdot 3 \sin (1) \sin (1) \sin (1)) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.107

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot 3 \cdot 3 \sin (1) \sin (1)) \sin (1) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.108

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot 3 \cdot 3 \sin (1)) \sin (1) \sin (1) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.109

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot 3 \cdot 3) \sin (1) \sin (1) \sin (1) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.110

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + x (- 4 \cdot 3 \cdot 3) \cdot 3 \sin (1) \sin (1) \sin (1) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.111

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 (- 4 (\sin (1) (\sin (1) \sin (1))))) + x (3 (3 \sin (1)))$

Step 9.12.112

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 (- 4 (\sin (1) \sin (1)) \sin (1))) + x (3 (3 \sin (1)))$

Step 9.12.113

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 (- 4 \sin (1) \sin (1)) \sin (1)) + x (3 (3 \sin (1)))$

Step 9.12.114

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 (- 4 \sin (1)) \sin (1) \sin (1)) + x (3 (3 \sin (1)))$

Step 9.12.115

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 \cdot - 4 \sin (1) \sin (1)) \sin (1) + x (3 (3 \sin (1)))$

Step 9.12.116

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 \cdot - 4 \sin (1)) \sin (1) \sin (1) + x (3 (3 \sin (1)))$

Step 9.12.117

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + x (3 \cdot - 4) \sin (1) \sin (1) \sin (1) + x (3 (3 \sin (1)))$

Step 9.12.118

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + x (3 (3 \sin (1)))$

Step 9.12.119

Move parentheses.

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + x (3 \cdot 3) \sin (1)$

Step 9.12.120

Move $x$ .

$lim_{x \to \infty} (- 4 \cdot - 4 \cdot - 4) \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 9.12.121

Multiply $- 4$ by $- 4$ .

$lim_{x \to \infty} 16 \cdot - 4 \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 9.12.122

Multiply $16$ by $- 4$ .

$lim_{x \to \infty} - 64 \cdot - 4 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 9.12.123

Multiply $- 64$ by $- 4$ .

$lim_{x \to \infty} 256 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 10

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{1} (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 11

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{1} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 12

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{1 + 1} \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 13

Add $1$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{2} (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 14

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{2} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 15

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{2 + 1} \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 16

Add $2$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{3} (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 17

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{3} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 18

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{3 + 1} \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 19

Add $3$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{4} (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 20

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{4} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 21

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{4 + 1} \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 22

Add $4$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{5} (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 23

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{5} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 24

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{5 + 1} \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 25

Add $5$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{6} (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 26

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{6} (1) \sin^{1} (1)) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 27

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{6 + 1} \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 28

Add $6$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{7} (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 29

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{7} (1) \sin^{1} (1)) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 30

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{7 + 1} \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 31

Add $7$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{8} (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 32

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x (\sin^{8} (1) \sin^{1} (1)) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 33

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x {\sin (1)}^{8 + 1} + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 34

Add $8$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) + (- 4 \cdot 3 \cdot - 4 \cdot - 4) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 35

Multiply $- 4$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 12 \cdot - 4 \cdot - 4 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 36

Multiply $- 12$ by $- 4$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) + 48 \cdot - 4 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 37

Multiply $48$ by $- 4$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 192 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 38

Multiply $- 192$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 39

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{1} (1) \sin (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 40

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{1} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 41

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{1 + 1} \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 42

Add $1$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{2} (1) \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 43

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{2} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 44

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{2 + 1} \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 45

Add $2$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{3} (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 46

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{3} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 47

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{3 + 1} \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 48

Add $3$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{4} (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 49

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{4} (1) \sin^{1} (1)) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 50

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{4 + 1} \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 51

Add $4$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{5} (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 52

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{5} (1) \sin^{1} (1)) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 53

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{5 + 1} \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 54

Add $5$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{6} (1) \sin (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 55

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x (\sin^{6} (1) \sin^{1} (1)) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 56

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x {\sin (1)}^{6 + 1} + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 57

Add $6$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + (- 4 \cdot 3 \cdot - 4 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 58

Multiply $- 4$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) - 12 \cdot - 4 \cdot 3 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 59

Multiply $- 12$ by $- 4$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 48 \cdot 3 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 60

Multiply $48$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 144 \cdot 3 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 61

Multiply $144$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin (1) \sin (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 62

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x (\sin^{1} (1) \sin (1)) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 63

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x (\sin^{1} (1) \sin^{1} (1)) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 64

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x {\sin (1)}^{1 + 1} \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 65

Add $1$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{2} (1) \sin (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 66

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x (\sin^{2} (1) \sin^{1} (1)) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 67

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x {\sin (1)}^{2 + 1} \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 68

Add $2$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{3} (1) \sin (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 69

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x (\sin^{3} (1) \sin^{1} (1)) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 70

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x {\sin (1)}^{3 + 1} \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 71

Add $3$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{4} (1) \sin (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 72

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x (\sin^{4} (1) \sin^{1} (1)) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 73

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x {\sin (1)}^{4 + 1} + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 74

Add $4$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) + (- 4 \cdot 3 \cdot 3) \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 75

Multiply $- 4$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 12 \cdot 3 \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 76

Multiply $- 12$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 36 \cdot 3 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 77

Multiply $- 36$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin (1) \sin (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 78

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x (\sin^{1} (1) \sin (1)) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 79

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x (\sin^{1} (1) \sin^{1} (1)) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 80

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x {\sin (1)}^{1 + 1} \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 81

Add $1$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{2} (1) \sin (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 82

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x (\sin^{2} (1) \sin^{1} (1)) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 83

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x {\sin (1)}^{2 + 1} + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 84

Add $2$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) + 3 \cdot - 4 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 85

Multiply $3$ by $- 4$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x \sin (1) \sin (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 86

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x (\sin^{1} (1) \sin (1)) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 87

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x (\sin^{1} (1) \sin^{1} (1)) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 88

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x {\sin (1)}^{1 + 1} \sin (1) + 3 \cdot 3 x \sin (1)$

Step 89

Add $1$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x \sin^{2} (1) \sin (1) + 3 \cdot 3 x \sin (1)$

Step 90

Raise $\sin (1)$ to the power of $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x (\sin^{2} (1) \sin^{1} (1)) + 3 \cdot 3 x \sin (1)$

Step 91

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x {\sin (1)}^{2 + 1} + 3 \cdot 3 x \sin (1)$

Step 92

Simplify by adding terms.

Tap for more steps...

Step 92.1

Add $2$ and $1$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x \sin^{3} (1) + 3 \cdot 3 x \sin (1)$

Step 92.2

Multiply $3$ by $3$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 108 x \sin^{3} (1) - 12 x \sin^{3} (1) + 9 x \sin (1)$

Step 92.3

Subtract $12 x \sin^{3} (1)$ from $- 108 x \sin^{3} (1)$ .

$lim_{x \to \infty} 256 x \sin^{9} (1) - 576 x \sin^{7} (1) + 432 x \sin^{5} (1) - 120 x \sin^{3} (1) + 9 x \sin (1)$

Step 93

The limit at infinity of a polynomial whose leading coefficient is positive is infinity.

$\infty$