## Calculus 10th Edition

a) $\lim\limits_{x\to c^+}f(x)=0$ b) $\lim\limits_{x\to c^{-}}f(x)=2$ c) $\lim\limits_{x\to c}f(x)$ does not exist.
a) As we approach c from the right, we get the limit to be equal to $0.$ b) As we approach c from the left, we get the limit to be equal to $2.$ c)The limit does not exist since $\lim\limits_{x\to c^+}f(x)\ne\lim\limits_{x\to c^{-}}f(x).$ d) The function is not continuous at $x=c$ since $\lim\limits_{x\to c}f(x)$ does not exist.