Answer
the limit does not exist,
$\displaystyle \lim_{\mathrm{x}\rightarrow 0}f(x)=+\infty$.
Work Step by Step
Follow the steps in "Evaluating Limits Graphically"
(step 5: determine if the limit at x=a exists)
In parts (b) and (c) we found that neither of the one -sided limits exist, so the limit does not exist.
We also found that f(x)$\rightarrow+\infty$ as x approaches 0 from either side.
When f(x) is becoming arbitrarily large as x$\rightarrow$a, we also say that $\displaystyle \lim_{x\rightarrow a}$f(x) diverges to +$\infty$, or just $\displaystyle \lim_{\mathrm{x}\rightarrow a}f(x)$=+$\infty$.
So,
the limit does not exist,
$\displaystyle \lim_{\mathrm{x}\rightarrow 0}f(x)=+\infty$.
