Results 1 to 5 of 5

Math Help - how to you show the series sigma n^(3/n) converge or diverge?

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    10

    how to you show the series sigma n^(3/n) converge or diverge?

    How to you show the series sigma n^(3/n) converge or diverge?

    Should i use the com parsing test?
    Last edited by mr fantastic; July 7th 2010 at 10:49 PM. Reason: Copied title into main body of post.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29
    Read the section on "Ratio Test"

    Pauls Online Notes : Calculus II - Ratio Test
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2010
    Posts
    10
    ratio test is inconclusive with this case since lim n->inf n^[(3/n+1)-3/n] =1
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member roninpro's Avatar
    Joined
    Nov 2009
    Posts
    485
    The series fails the n-th term test.

    \lim_{n\to \infty} n^{3/n}=1
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by de20 View Post
    should i use the com parsing test?
    Since \displaystyle {\lim_{n \to +\infty} n^{3/n} = 1} the series is clearly divergent by the limit test.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Converge or diverge plus show why
    Posted in the Differential Geometry Forum
    Replies: 29
    Last Post: January 17th 2012, 03:25 AM
  2. Does this series converge or diverge?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 6th 2010, 10:15 AM
  3. Replies: 1
    Last Post: March 29th 2010, 11:27 AM
  4. Series converge or diverge?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 1st 2008, 09:12 AM
  5. More on series converge or diverge?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 21st 2008, 03:28 AM

Search Tags


/mathhelpforum @mathhelpforum