$[3]$ Let $g(x)=\frac{x^2+x-6}{|x-2|}.$ Find $\underset{x{2}^{+}}{lim}g(x)$ and $\underset{x{2}^{-}}{lim}g(x).$ Does $\underset{x2}{lim}g(x)$ exist?

Sketch the graph of $g(x)($by hand, not using a graphing device$)$ Dont do lhospital rule