Answer
$ f\left( x \right)\to -\infty $ as $\underline{x\to -{{2}^{+}}}$ or as $\underline{x\to {{2}^{-}}}$.
Work Step by Step
We see from the graph that the graph is going to $-\infty $ as x approaches to $2$. After $ x=2$ the function is undefined.
Similarly, for the negative values of x, the graph is going to $-\infty $ as it approaches to $-2$. Before $ x=-2$, the function is undefined.
Thus, $ f\left( x \right)\to -\infty $ as $ x\to -{{2}^{+}}$ or as $ x\to {{2}^{-}}$.