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Limit with factorial

  1. May 21, 2008 #1
    Please can anybody help me find this limit?

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  2. jcsd
  3. May 21, 2008 #2


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    Staff Emeritus
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    It's hard to believe you are serious. Have you done anything on this yourself? Have you tried, for example, calculating values for, say, x= 10, 1000, etc.?
  4. May 21, 2008 #3
    I studied the limit but not this type

    this question is older than me :)
    Last edited: May 21, 2008
  5. May 22, 2008 #4

    Gib Z

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    Homework Helper

    Just a few things that should have made this limit quite obvious -

    [tex]n! < n^n, n > 2[/tex]

    [tex]n^2 > n[/tex]

    Perhaps you have seen how to evaluate the common [tex]\lim_{n\to \infty} n^{\frac{1}{n}}[/tex]?
  6. May 22, 2008 #5
    Gib Z: Tanks a lot.
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