Calculus Examples

$lim_{x \to 8} \frac{\cos (1)}{x}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $\cos (1)$ outside of the limit because it is constant with respect to $x$ .

$\cos (1) lim_{x \to 8} \frac{1}{x}$

Step 1.2

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $8$ .

$\cos (1) \frac{lim_{x \to 8} 1}{lim_{x \to 8} x}$

Step 1.3

Evaluate the limit of $1$ which is constant as $x$ approaches $8$ .

$\cos (1) \frac{1}{lim_{x \to 8} x}$

Step 2

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

$\cos (1) \frac{1}{8}$

Step 3

Simplify the answer.

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Step 3.1

Evaluate $\cos (1)$ .

$0.99984769 (\frac{1}{8})$

Step 3.2

Combine $0.99984769$ and $\frac{1}{8}$ .

$\frac{0.99984769}{8}$

Step 3.3

Divide $0.99984769$ by $8$ .

$0.12498096$