Calculus Examples

$lim_{x \to \frac{π}{2}} 5 e^{\tan (x)}$

Step 1

Change the two-sided limit into a right sided limit.

$lim_{x \to {(\frac{π}{2})}^{+}} 5 e^{\tan (x)}$

Step 2

Move the term $5$ outside of the limit because it is constant with respect to $x$ .

$5 lim_{x \to {(\frac{π}{2})}^{+}} e^{\tan (x)}$

Step 3

Since the exponent $\tan (x)$ approaches $- \infty$ , the quantity $e^{\tan (x)}$ approaches $0$ .

$5 \cdot 0$

Step 4

Multiply $5$ by $0$ .

$0$