Calculus Examples

$\frac{lim_{x \to \frac{π}{2}} - 2}{\cos (x)}$

Step 1

Evaluate the limit of $- 2$ which is constant as $x$ approaches $\frac{π}{2}$ .

$\frac{- 2}{\cos (x)}$

Step 2

Simplify the answer.

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Step 2.1

Separate fractions.

$\frac{- 2}{1} \cdot \frac{1}{\cos (x)}$

Step 2.2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\frac{- 2}{1} \sec (x)$

Step 2.3

Divide $- 2$ by $1$ .

$- 2 \sec (x)$