Answer
The limit $\displaystyle \lim_{x\rightarrow-1^{-}}f(x)$ does not exist.
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step $4$: left-sided limit at x=a)
$x=-1.$
Tracing the graph from the left ... is not possible, since f is not defined there.
(see step 7, since x=$-1$ is an endpoint... this limit does not exist)
The limit $\displaystyle \lim_{x\rightarrow-1^{-}}f(x)$ does not exist.
