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Homework Help: Ratio test.

  1. Oct 26, 2007 #1
    Suppose that [tex]a_n\geq 0[/tex] and there is

    If c>1,series diverges.
    if c<1 series converges.

    For [tex]a_n=\frac{n!}{n^n}[/tex]



    Then I used I'Hopital Rule and got answer 1.
    Last edited: Oct 26, 2007
  2. jcsd
  3. Oct 26, 2007 #2


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    I think you'd better check your l'Hopital. Your final limit is closely related to the limit of (1+1/n)^n, which is a famous limit and is not one.
    Last edited: Oct 26, 2007
  4. Oct 26, 2007 #3
    A,yes I get it.

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