Answer
a) $\lim\limits_{x\to c^+}f(x)=-2.$
b) $\lim\limits_{x\to c^{-}}f(x)=-2.$
c) $\lim\limits_{x\to c}f(x)=-2.$
Work Step by Step
a) As we approach c from the right, we get the limit to be equal to $-2.$
b) As we approach c from the left, we get the limit to be equal to $-2.$
c)The limit exists since $\lim\limits_{x\to c^+}f(x)=\lim\limits_{x\to c^{-}}f(x)$
