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 5: determine if the limit at x=a exists)
$x=-1$
Since we found in part (b) that one of the one-sided limits does not exist,
the limit $\displaystyle \lim_{x\rightarrow-1}f(x)$ does not exist.
(this is also confirmed in step 7, as x=$-1$ is an endpoint of the domain of f)
