Prove the statement using the $,$ definition of a limit$.$

$\underset{x5}{lim}(\frac{1}{5}x+2)=3$

Given $>0,$ we need $,$ such that if then $|(2+\frac{1}{5}x)-3|---$Select$-$ hat$(v).$ But So if we choose $=$ then Thus, $\underset{x5}{lim}(2+\frac{1}{5}x)=3$ by the definition of a limit$.$ Illustrate with a diagram.

$($i$)$

$($i$)$