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