Chapter 1.6, Problem 2E

The graphs of f and g are given. Use them to evaluate each limit, if it limit does not exist, explain why.

(a) $\underset{x\to 2}{\lim }\left[f\left(x\right)+g\left(x\right)\right]$

(b) $\underset{x\to 0}{\lim }\left[f\left(x\right)-g\left(x\right)\right]$

(c) $\underset{x\to -1}{\lim }\left[f\left(x\right)g\left(x\right)\right]$

(d) $\underset{x\to 3}{\lim }\left[\frac{f\left(x\right)}{g\left(x\right)}\right]$

(e) $\underset{x\to 2}{\lim }\left[x^{2}f\left(x\right)\right]$

(f) $f\left(-1\right)+\underset{x\to -1}{\lim }g\left(x\right)$