Answer
a) $\lim\limits_{x \to 0^-}$f(x)=-1
b) $\lim\limits_{x \to 0^+}$f(x)=1
c) $\lim\limits_{x \to 0}$ f(x) does not exist
Work Step by Step
a) As the function approaches x=0 from the left side, f(x)=-1
b) As the function approaches x=0 from the right side, f(x)=1
c) The limit does not exist because as x approaches 0 from both sides, f(x) from the right side ≠ f(x) from the left side.