Results 1 to 3 of 3

Math Help - series expansion of cotx

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    53

    series expansion of cotx

    hi you,

    he expansion for the cosx ... okay got it

    but though i can do the long division to get tanx i can't for the series expansion of cotx

    maybe you know much more than me

    share your knowledge please (though as everyone knows it not obligatory!)

    yes?
    Last edited by mr fantastic; October 1st 2009 at 01:28 PM. Reason: Copied the actual question from the post title into the main body of the post
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093
    Quote Originally Posted by pepsi View Post
    hi you,

    he expansion for the cosx ... okay got it

    but though i can do the long division to get tanx i can't for this

    maybe you know much more than me

    share your knowledge please (though as everyone knows it not obligatory!)

    yes?

    there is not a general Taylor form for cotx and tanx you can find some terms by long division as you said but there is no general form that's it .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Aug 2008
    Posts
    903
    An expansion about the origin is:

    \cot(z)=\sum_{n=0}^{\infty}\frac{(-1)^n 2^{2n} B_{2n}}{(2n)!} z^{2n-1}

    where I assume the radius of convergence is up to the next pole.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. series expansion for sin(e^x)
    Posted in the Calculus Forum
    Replies: 6
    Last Post: August 18th 2011, 08:27 AM
  2. Series expansion?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 12th 2011, 02:44 AM
  3. Series expansion
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 23rd 2009, 10:08 AM
  4. Series expansion
    Posted in the Calculus Forum
    Replies: 5
    Last Post: July 25th 2008, 04:59 PM
  5. Series Expansion/Taylor Series Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 12th 2005, 10:23 AM

Search Tags


/mathhelpforum @mathhelpforum