(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the convergence or divergence of a_{n}= n^{p}/ e^{n}

3. The attempt at a solution

Using L'Hopitals Rule, I get (p(n^{P-1}e^{n}) - n^{P}e^{n}) / e^{2n}which, if I take the limit as n [itex]\rightarrow[/itex][itex]\infty[/itex] I still get [itex]\infty/\infty[/itex] which doesn't help. I can see if a sequence converges to 0, i'm not sure how to show that it does, in general other than taking the limit or using L'Hopital.

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# Homework Help: Question about a sequence.

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