(Solved): 2. Use the graphs of \( f \) and \( g \) in the accompanying figure to find the limits that exist. ...

2. Use the graphs of \( f \) and \( g \) in the accompanying figure to find the limits that exist. If the limit does not exist, explain why. (a) \( \lim _{x \rightarrow 2}[f(x)+g(x)] \) (b) \( \lim _{x \rightarrow 0}[f(x)+g(x)] \) (c) \( \lim _{x \rightarrow 0^{+}}[f(x)+g(x)] \) (d) \( \lim _{x \rightarrow 0^{-}}[f(x)+g(x)] \) (e) \( \lim _{x \rightarrow 2} \frac{f(x)}{1+g(x)} \) (f) \( \lim _{x \rightarrow 2} \frac{1+g(x)}{f(x)} \) (g) \( \lim _{x \rightarrow 0^{+}} \sqrt{f(x)} \) (h) \( \lim _{x \rightarrow 0^{-}} \sqrt{f(x)} \)