anonymous
  • anonymous
What is the limit as x goes to infinity of ((ln x)^p)/x?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I 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
  • anonymous
i think it s correct way and u take p times
anonymous
  • anonymous
That 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.

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anonymous
  • anonymous
i think \[\lim_{x \rightarrow \infty}p!*1/x=0\]
anonymous
  • anonymous
Wouldn't that equal \[p!\lim_{x \rightarrow \infty} 1/x\] 0*p!=0. I don't get how that's relevant.
anonymous
  • anonymous
\[\lim_{x \rightarrow \infty}p*(p-1)*(p-2)*****2*1*1/x\]
anonymous
  • anonymous
is ok?
anonymous
  • anonymous
I'll see if I can turn that into a factorial somehow. Thanks.

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