#### Answer

c

#### Work Step by Step

See: Existence of Limits
...3. If $\displaystyle \lim_{x\rightarrow a^{-}}f(x)=L$ and $\displaystyle \lim_{x\rightarrow a^{+}}f(x)=M$,
and $L\neq M$,
then $\displaystyle \lim_{x\rightarrow a}f(x)$ does not exist.
$\displaystyle \lim_{x\rightarrow 2^{-}}f(x)\neq \displaystyle \lim_{x\rightarrow 2^{+}}f(x)$, so $\displaystyle \lim_{x\rightarrow 2}f(x)$ does not exist.