Calculus Examples

$lim_{x \to {(\frac{π}{2})}^{-}} \frac{2}{1 + e^{\tan (x)}}$

Step 1

Move the term $2$ outside of the limit because it is constant with respect to $x$ .

$2 lim_{x \to {(\frac{π}{2})}^{-}} \frac{1}{1 + e^{\tan (x)}}$

Step 2

Since its numerator approaches a real number while its denominator is unbounded, the fraction $\frac{1}{1 + e^{\tan (x)}}$ approaches $0$ .

$2 \cdot 0$

Step 3

Multiply $2$ by $0$ .

$0$