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Writing The Limit Of A Sequence With A Factorial

  1. Sep 30, 2012 #1
    1. The problem statement, all variables and given/known data
    The sequence is [itex]a_n = \frac{n^P}{e^n}[/itex]


    2. Relevant equations



    3. The attempt at a solution
    If I did L'Hopital's rule P times, would the final product look like:

    [itex]P!\times lim_{n \rightarrow \infty} = \frac{1}{e^n}[/itex] ?
     
  2. jcsd
  3. Sep 30, 2012 #2
    I don't see why it wouldn't
     
  4. Oct 1, 2012 #3
    I just wasn't sure if I had wrote it properly. Thank you.
     
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