Answer
See explanations.
Work Step by Step
Given $f$ as an even function, we have $f(-x)=f(x)$ and $f$ is symmetric with respect to the y-axis. Knowing $\lim_{x\to 2^-}=7$, use its mirror image around the y-axis. We know that $\lim_{x\to -2^+}=7$. However, since we do not know $\lim_{x\to 2^+}$, we can not evaluate $\lim_{x\to -2^-}=7$.
