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How to show this series is divergent?

  1. Feb 16, 2009 #1

    KFC

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    I got a series in the following form

    [tex]\sum_{k=0}^\infty\dfrac{k!}{c^{2(k-1)}}[/tex]

    where c is arbritary complex constant, how can I show this series is divergent?

    Thanks
     
  2. jcsd
  3. Feb 17, 2009 #2

    Ben Niehoff

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    Science Advisor
    Gold Member

    You have a factorial on top. It looks fairly obvious to me.

    If it's not obvious to you, try a ratio test.
     
  4. Feb 17, 2009 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yep, ratio test.
     
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