SOLUTION: Okay, so I have looked for a calculus tutor online and I have a test on my homework veryy soon. I really need help. Its a La Hospital's Rule... the problem is.... lim

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Question 170695: Okay, so I have looked for a calculus tutor online and I have a test on my homework veryy soon. I really need help. Its a La Hospital's Rule...
the problem is....
lim [ln(x)]^3/x^2
x->infinity


PLEASE help me:)

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

I can't make an arrow for "approaches" easy using 
the software here, so please interpret  
as though it were .


 =

We need to get that exponent 3 outside the limit.
First get it outside the parentheses:

 =

Then get it outside the limit:

 =

Now with that 3 exponent outside the limit, we can use 
l'Hopital's rule on the inside without it:

 =

Multiply numerator and denominator both by 

 =



Edwin

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