Calculus Examples

$lim_{x \to 0} \frac{\cos (- 0.1) - 1}{- 0.1}$

Step 1

Evaluate the limit of $\frac{\cos (- 0.1) - 1}{- 0.1}$ which is constant as $x$ approaches $0$ .

$\frac{\cos (- 0.1) - 1}{- 0.1}$

Step 2

Simplify the answer.

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Step 2.1

Move the negative in front of the fraction.

$- \frac{\cos (- 0.1) - 1}{0.1}$

Step 2.2

Evaluate $\cos (- 0.1)$ .

$- \frac{0.99500416 - 1}{0.1}$

Step 2.3

Subtract $1$ from $0.99500416$ .

$- \frac{- 0.00499583}{0.1}$

Step 2.4

Divide $- 0.00499583$ by $0.1$ .

$- - 0.04995834$

Step 2.5

Multiply $- 1$ by $- 0.04995834$ .

$0.04995834$