Question

What is the limit as x is approaching infinity of (ln(ln(x)))/x

Please explain how you got it too!

Answer 1

Use L'Hopitals and get:
\[\lim_{x \rightarrow \infty}\frac{1}{x\ln (x)}\]
the denominator goes to infty and
\[\frac{1}{\infty}\rightarrow0\]