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

Evaluate $\cos (0.1)$ .

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

Step 2.2

Subtract $1$ from $0.99500416$ .

$\frac{- 0.00499583}{0.1}$

Step 2.3

Divide $- 0.00499583$ by $0.1$ .

$- 0.04995834$