#### Answer

The example is
$$\lim_{x\to0}\frac{\ln x}{x^{-2}}$$

#### Work Step by Step

The example is
$$\lim_{x\to0}\frac{\ln x}{x^{-2}}.$$
Indeed,
for the numerator
$$\lim_{x\to 0}\ln x=-\infty$$
for the denominator
$$\lim_{x\to 0}x^{-2}=\lim_{x\to 0}\frac{1}{x^2}=\infty,$$
since when $x\to 0$
so we have the form $\infty/\infty$ as $x\to0$