Answer
$\displaystyle \lim_{x\rightarrow 0}f(x)$ does not exist.
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step 5: determine whether a limit exists at x=a)
In part (a) we found that one of the one-sided limits does not exist,
therefore,
$\displaystyle \lim_{x\rightarrow 0}f(x)$ does not exist.
(Step 7 also concludes this,
as x=0 is an endpoint of the domain of f)
