Answer
$\lim\limits_{x \to \ 0^{-}}f(x)=-\infty$.
Work Step by Step
In order to obtain the limit of $\lim\limits_{x \to \ 0^{-}}f(x)$ we have to trace the graph. We only have to consider the limit, not the value of $f(0)$.
As we trace the graph, we can observe, that as we approach 0 from the negative side, the function diverges to $-\infty$.
Therefore we can conclude, that the limit does not exist, it diverges to $-\infty$
$\lim\limits_{x \to \ 0^{-}}f(x)=-\infty$.
