Answer
$\displaystyle \lim_{x\rightarrow-1}f(x)=-1$
Work Step by Step
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,
$\displaystyle \lim_{x\rightarrow-1}f(x)=-1$