## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow 2} \frac{x^{3}-3 x-2}{x-2}$
## Solution

$\lim _{x \rightarrow 2} \frac{x^{3}-3 x-2}{x-2}=\left\{\frac{0}{0}\right\}=\lim _{x \rightarrow 2} \frac{(x-2)\left(x^{2}+2 x+1\right)}{x-2}=$
$=\lim _{x \rightarrow 2}\left(x^{2}+2 x+1\right)=2^{2}+2 \cdot 2+1=4+4+1=9$

## Problem Kuznetsov Limits 10-20