## Calculus: Early Transcendentals (2nd Edition)

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