Answer
$\displaystyle \lim_{x\rightarrow 1}f(x)=-2$
Work Step by Step
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,
$\displaystyle \lim_{x\rightarrow 1}f(x)=-2$
