## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow 0}\left(\frac{x^{2}+4}{x+2}\right)^{x^{2}+3}$
## Solution

$\lim _{x \rightarrow 0}\left(\frac{x^{2}+4}{x+2}\right)^{x^{2}+3}=\left(\frac{0^{2}+4}{0+2}\right)^{0^{2}+3}=$

$=\left(\frac{4}{2}\right)^{3}=2^{3}=8$

## Problem Kuznetsov Limits 18-6