Let $g(x)=\frac{x^{2}x-30}{|x-5|}.$

$($a$)$ Find the following limits$.($If an answer does not exist, enter DNE.$)$

$($i$)\underset{x{5}^{}}{lim}g(x)$

$$

$($ii$)\underset{x{5}^{-}}{lim}g(x)$

$$

$($b$)$ Does $\underset{x5}{lim}g(x)$ exist?

Yes

No

$($c$)$ Sketch the graph of $g.$

Please break down each step of anything that has to do with avsolute value