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anonymous
 5 years ago
What is the limit as x goes to infinity of ((ln x)^p)/x?
anonymous
 5 years ago
What is the limit as x goes to infinity of ((ln x)^p)/x?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I keep getting infinity over infinity no matter how many times I do L'Hopital's rule. What's the right way to do this?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think it s correct way and u take p times

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That doesn't make sense. The problem is the derivative of (ln x)^p gives me 1/x as part of the answer. x goes into the denominator, and voila, the limit as x goes to infinity of x is infinity  thus the infinity over infinity. That's why I'm thinking I'm doing something wrong.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think \[\lim_{x \rightarrow \infty}p!*1/x=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Wouldn't that equal \[p!\lim_{x \rightarrow \infty} 1/x\] 0*p!=0. I don't get how that's relevant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow \infty}p*(p1)*(p2)*****2*1*1/x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'll see if I can turn that into a factorial somehow. Thanks.
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