## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow \pi}(x+\sin x)^{\sin x+x}$
## Solution

$\lim _{x \rightarrow \pi}(x+\sin x)^{\sin x+x}=(\pi+\sin \pi)^{\sin \pi+\pi}=(\pi+0)^{0+\pi}=\pi^{\pi}$

## Problem Kuznetsov Limits 20-20