Chapter 2.2, Problem 54E

Limits of odd functions A function g is odd if g(−x) = −g(x), for all x in the domain of g. Suppose g is odd, with $\underset{x\to 2^{+}}{\lim }g(x)=5$ and $\underset{x\to 2^{-}}{\lim }g(x)=8$. Evaluate the following limits.

1. a. $\underset{x\to -2^{+}}{\lim }g(x)$
2. b. $\underset{x\to -2^{-}}{\lim }g(x)$