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Sum of 1/ln(n)^(ln(n)) from n=3 to infinity?

  1. Apr 14, 2009 #1

    sedaw

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    Sum of 1/ln(n)^(ln(n)) from n=3 to infinity?
    Does the sum of 1/ln(n)^(ln(n)) from n=3 to infinity converge or diverge?

    TNX ...............
     
    sedaw, Apr 14, 2009
  2. jcsd
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  3. Apr 14, 2009 #2

    Dick

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    Re: Sequence

    Can you show ln(n)^(ln(n))=n^(ln(ln(n)))?
     
    Dick, Apr 14, 2009
  4. Apr 14, 2009 #3

    sedaw

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    Re: Sequence

    nope , you are magician , how u did it ?


    TNX !
     
    sedaw, Apr 14, 2009
  5. Apr 14, 2009 #4

    Dick

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    Re: Sequence

    Try it doing it. Use that a^b=e^(ln(a)*b).
     
    Dick, Apr 14, 2009
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