Results 1 to 2 of 2

Math Help - Series Convergent/Divergent

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    19

    Series Convergent/Divergent

    Determine whether the series \sum_{n=1}^{\infty} ln(n+\frac {1} {n} )- ln  (n) converges or diverges.

    I'm really bad with series.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by wilcofan3 View Post
    Determine whether the series \sum_{n=1}^{\infty} ln(n+\frac {1} {n} )- ln (n) converges or diverges.

    I'm really bad with series.
    Note that \ln \left( n+ \frac{1}{n} \right) - \ln (n) = \ln \left(1 + \frac{1}{n^2} \right) < \frac{1}{n^2} for n \geq 1 \, ....
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. series convergent or divergent?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: November 8th 2010, 11:35 AM
  2. Replies: 3
    Last Post: March 29th 2010, 12:36 PM
  3. Is this series convergent or divergent?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 3rd 2009, 06:29 AM
  4. Replies: 3
    Last Post: April 6th 2009, 11:03 PM
  5. Replies: 8
    Last Post: February 21st 2009, 10:16 AM

Search Tags


/mathhelpforum @mathhelpforum