# Find the limit, if it exists. (If an answer does not exist, enter DNE.) \lim\arctan(e^{x}) x\approx\infty

Limits and continuity
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
$$\lim\arctan(e^{x})$$
$$x\approx\infty$$

$$\lim\arctan(e^{x})=\arctan(e^{\infty})$$
$$=\arctan(\infty)=\frac{\pi}{2}$$