Chapter 13.2, Problem 3E

Limits from a Graph The graphs of f and g are given. Use them to evaluate each limit if it exists. If the limit does not exist, explain why.

1. (a) $\underset{x\to 2}{\lim }[f(x)+g(x)]$
2. (b) $\underset{x\to 1}{\lim }[f(x)+g(x)]$
3. (c) $\underset{x\to 0}{\lim }[f(x)g(x)]$
4. (d) $\underset{x\to -1}{\lim }\frac{f(x)}{g(x)}$
5. (e) $\underset{x\to 2}{\lim }{x}^{3}f(x)$
6. (f) $\underset{x\to 1}{\lim }\sqrt{3+f(x)}$