## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow \frac{\pi}{6}}(\sin x)^{\frac{6 x}{\pi}}$
## Solution

$\lim _{x \rightarrow \frac{\pi}{6}}(\sin x)^{\frac{6 x}{\pi}}=\left(\sin \frac{\pi}{6}\right)^{\frac{6}{\pi} \cdot \frac{\pi}{6}}=\left(\frac{1}{2}\right)^{1}=\frac{1}{2}$

## Problem Kuznetsov Limits 20-6