Help with understanding of L'Hospitals Rule
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? 
Re: Help with understanding of L'Hospitals Rule
(lnx)^2/x = (2/x)(ln x)
derivative of ln x = 1/x Go from there. I'm drunk. 
Re: Help with understanding of L'Hospitals Rule
Quote:
[tex]\frac{2}{x}[/tex] It should now be pretty sensible that it approaches 0 as x approaches infinity. 
Re: Help with understanding of L'Hospitals Rule
RoshanBBQ, thanks! Completely slipped my mind that sometimes we have to apply L'H more than once.

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