Calculus Examples

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

Step 1

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

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

Step 2

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

$0$