Answer
$\displaystyle \lim_{x\rightarrow-1}f(x)=2$
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
a. As we approach the value x=$-1$ from the left, f(x) approaches the value 2.
(the left limit exists and equals 2)
As we approach the value x=$-1$ from the right, f(x) approaches the value 2.
(the right limit exists and equals 2)
Since both exist and are equal, $\displaystyle \lim_{x\rightarrow-1}f(x)$ exists,
$\displaystyle \lim_{x\rightarrow-1}f(x)=2$
