Results 1 to 3 of 3

Math Help - One more series problem

  1. #1
    Newbie
    Joined
    Dec 2008
    Posts
    3

    One more series problem

    This one I'm not sure how to go about. The series is the sum from 1 to infinity of:

    n/(ln(n))^n

    Just from looking at it I'm assuming it converges, but how do I prove it?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Mathstud28's Avatar
    Joined
    Mar 2008
    From
    Pennsylvania
    Posts
    3,641
    Quote Originally Posted by Tbone456 View Post
    This one I'm not sure how to go about. The series is the sum from 1 to infinity of:

    n/(ln(n))^n

    Just from looking at it I'm assuming it converges, but how do I prove it?
    Try the Root Test if \lim\sqrt[n]{|a_n|}<1 then the series converges, find \lim\sqrt[n]{\frac{n}{\ln^n(n)}}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2008
    Posts
    3
    Quote Originally Posted by Mathstud28 View Post
    Try the Root Test if \lim\sqrt[n]{|a_n|}<1 then the series converges, find \lim\sqrt[n]{\frac{n}{\ln^n(n)}}
    Ok, so with some simplification I assume that ends up going to zero since the ln(n) in the denominator goes to infinity. Thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: September 29th 2010, 06:11 AM
  2. series problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 14th 2010, 11:22 PM
  3. Replies: 0
    Last Post: January 26th 2010, 08:06 AM
  4. help /w series problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 13th 2008, 02:41 PM
  5. Series problem. Cant seem to get this one.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 17th 2008, 01:45 PM

Search Tags


/mathhelpforum @mathhelpforum