Chapter 2.5, Problem 16E

The graph of g has a vertical asymptote at x = 2 and horizontal asymptotes at y = –1 and y = 3 (see figure). Determine the following limits: $\underset{x\to -\infty }{\lim }g\left(x\right)$, $\underset{x\to \infty }{\lim }g\left(x\right)$, $\underset{x\to 2^{-}}{\lim }g\left(x\right)$, and $\underset{x\to 2^{+}}{\lim }g\left(x\right)$