## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow 0}\left(\cos \left(\frac{x}{\pi}\right)\right)^{1+x}$
## Solution

$\lim _{x \rightarrow 0}\left(\cos \left(\frac{x}{\pi}\right)\right)^{1+x}=\left(\cos \left(\frac{0}{\pi}\right)\right)^{1+0}=1^{1}=1$

## Problem Kuznetsov Limits 18-22