Quote by shocklightnin
1. The problem statement, all variables and given/known data
This was a question from our lecture notes, just not sure how the prof arrived at the answer.
lim x>infinity (lnx)^2/x
2. Relevant equations
lim x>infinity (lnx)^2/x
lim x>infinity 2lnx/x
3. The attempt at a solution
so both the numerator and denominator are going towards infinity, and by L'H it the lim x>infinity 2lnx/x
so this means that the numerator is 'growing' faster than the denominator, a constant x? also, how does one arrive at the conclusion that the limit is 0?

Just apply L'Hospital's rule again since you are still in an indeterminate inf/inf:
[tex]\frac{2}{x}[/tex]
It should now be pretty sensible that it approaches 0 as x approaches infinity.