## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow 1}(\arcsin x)^{\tan \pi x}$
## Solution

$\lim _{x \rightarrow 1}(\arcsin x)^{\operatorname{tg} \pi x}=(\arcsin 1)^{\operatorname{tg} \pi}=\left(\frac{\pi}{2}\right)^{0}=1$

## Problem Kuznetsov Limits 20-19