Answer
$\displaystyle \lim_{x\rightarrow-1^{+}}f(x)=1$
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step $3$: right sided limit at x=a)
Tracing the graph (we can only do it from the right)
so x nears $-1$ (but not reaching it),
we approach the point ($-1,1)$,
f(x) approaches the value 1.
$\displaystyle \lim_{x\rightarrow-1^{+}}f(x)=1$
