#### Answer

The limit does not exist.

#### Work Step by Step

Please see image attached
for the values that need to be entered into the table.
Reading the table,
as $x$ approaches $3$ from the left,
$f(x)$ seems to rise without bound, $\displaystyle \lim_{x\rightarrow 3^{-}}f(x)=+\infty$
as $x$ approaches $3$ from the right,
$f(x)$ seems to descend without bound, $\displaystyle \lim_{x\rightarrow 3^{+}}f(x)=-\infty$
so we estimate that
$\displaystyle \lim_{x\rightarrow 3}f(x)$ does not exist.