Compute Limit as x--> infinity of (logx)(log(logx)) / x
The Attempt at a Solution
Graphically, I see that the answer is perhaps zero, but I am not sure how to approach this algebraically. I worked at this for a couple hours, trying L'Hospital's rule but that did not really lead me anywhere. Is there some tricky substitution I am missing?
Can I do this?
and then x as
and evaluate the limit of the exponents? (as in as a ratio)?