Answer
a. See graph.
b. $\lim_{x\to2^-}f(x)=9$, $\lim_{x\to2^+}f(x)=7$; $\lim_{x\to2}f(x)$ does not exist.
Work Step by Step
a. We can graph both functions on the same plot as shown in the figure.
b. Based on the graph, we have
$\lim_{x\to2^-}f(x)=9$
$\lim_{x\to2^+}f(x)=7$
Since
$\lim_{x\to2^-}f(x)\ne \lim_{x\to2^+}f(x)$
We conclude that $\lim_{x\to2}f(x)$ does not exist.
