Answer
$\displaystyle \lim_{x\rightarrow-1}f(x)=-1$
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(steps 3-5 finding left- and right-sided limits, determining if a limit exists at x=a)
As we trace the graph, so x approaches the value $-1$ from either side,
the points on the graph near the point $(-1,-1)$, so
f(x) approaches the value $-1$.
(Both the left and right limits exist and are equal to $-1$)
$\displaystyle \lim_{x\rightarrow-1}f(x)=-1$
