Calculus Examples

$\frac{lim_{x \to 8} 1000 x}{x^{2 - 1}}$

Step 1

Move the term $1000$ outside of the limit because it is constant with respect to $x$ .

$\frac{1000 lim_{x \to 8} x}{x^{2 - 1}}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\frac{1000 \cdot 8}{x^{2 - 1}}$

Step 3

Simplify the answer.

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Step 3.1

Multiply $1000$ by $8$ .

$\frac{8000}{x^{2 - 1}}$

Step 3.2

Simplify the denominator.

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Step 3.2.1

Subtract $1$ from $2$ .

$\frac{8000}{x^{1}}$

Step 3.2.2

Simplify.

$\frac{8000}{x}$