## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow 0}\left(\frac{x^{3}+8}{3 x^{2}+10}\right)^{x+2}$
## Solution

$\lim _{x \rightarrow 0}\left(\frac{x^{3}+8}{3 x^{2}+10}\right)^{x+2}=\left(\frac{0^{3}+8}{3 \cdot 0^{2}+10}\right)^{0+2}=$

$=\left(\frac{8}{10}\right)^{2}=0.8^{2}=0.64$

Problem Kuznetsov Limits 18-15