Chapter 1.1, Problem 1ES

In these exercises, make reasonable assumptions about the graph of the indicated function outside of the region depicted.

For the function $g$ graphed in the accompanying figure, find

(a) $\underset{x\to 0^{-}}{\lim }g\left(x\right)$

(b) $\underset{x\to 0^{+}}{\lim }g\left(x\right)$

(c) $\underset{x\to 0}{\lim }g\left(x\right)$

(d) $g\left(0\right)$ .