Results 1 to 3 of 3

Math Help - Does this series converge or diverge

  1. #1
    Member
    Joined
    Jan 2009
    From
    Kingston, PA
    Posts
    96

    Does this series converge or diverge

    Ok, I have another series im puzzled on how to approach. In my calc 3 class, we learned how to apply the divergence and integral tests but im not sure which to use. the series is Tan-1 K / 1+ K^2.

    Thanks for any help or suggestions!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    You can just bound the general term, since -\frac{\pi }{2}<\arctan x<\frac{\pi }{2} holds for all x\in\mathbb R.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,394
    Thanks
    1477
    Awards
    1
    \sum\limits_k {\frac{{\arctan (k)}}<br />
{{1 + k^2 }}}  \leqslant \frac{\pi }<br />
{2}\sum\limits_k {\frac{1}<br />
{{1 + k^2 }}} <br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Does this series converge or diverge?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 6th 2010, 09:15 AM
  2. Series: Converge of Diverge
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: May 6th 2010, 04:05 AM
  3. Does this series converge or diverge?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 30th 2009, 07:57 AM
  4. Series help!; converge or diverge
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 23rd 2008, 05:19 PM
  5. Series converge or diverge?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 1st 2008, 08:12 AM

Search Tags


/mathhelpforum @mathhelpforum