Question

$\lim_{x \to \infty} \frac{lnx}{x}$

Answer 1

0

Answer 2

The limit is of the form $\frac{\infty}{\infty}$. Apply L'Hôpital's Rule. Differentiate the numerator ($\ln x$) to get $1/x$. Differentiate the denominator ($x$) to get 1. The new limit is $\lim_{x \to \infty} \frac{1/x}{1} = \lim_{x \to \infty} \frac{1}{x} = 0$.