Calculus Examples

$lim_{x \to 0} \frac{7 (\cos (- 0.1) - 7)}{- 0.1}$

Step 1

Evaluate the limit of $\frac{7 (\cos (- 0.1) - 7)}{- 0.1}$ which is constant as $x$ approaches $0$ .

$\frac{7 (\cos (- 0.1) - 7)}{- 0.1}$

Step 2

Simplify the answer.

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Step 2.1

Move the negative in front of the fraction.

$- \frac{7 (\cos (- 0.1) - 7)}{0.1}$

Step 2.2

Evaluate $\cos (- 0.1)$ .

$- \frac{7 (0.99500416 - 7)}{0.1}$

Step 2.3

Subtract $7$ from $0.99500416$ .

$- \frac{7 \cdot - 6.00499583}{0.1}$

Step 2.4

Multiply $7$ by $- 6.00499583$ .

$- \frac{- 42.03497084}{0.1}$

Step 2.5

Divide $- 42.03497084$ by $0.1$ .

$- - 420.34970843$

Step 2.6

Multiply $- 1$ by $- 420.34970843$ .

$420.34970843$