Results 1 to 2 of 2

Math Help - Taylor and Maclaurin Series

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    6

    Taylor and Maclaurin Series

    hi im having abit of trouble with taylor series at the moment

    i understand the concept and can easily find a taylor series of a function to degree 3 or 4, however this semester im dealing with infinte complex series and forming a taylor series of a complex function.

    for example:

    Find the power series about the origin for (z^2)cos(z)

    i was wandering if there is an easier way to determine this without finding the first few derivatives and trying to figure out the series from what values we ontain.

    if someone could give some tips or somewhere where i could find some worked examples of this it would really help me out.

    Many Thanks
    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 Reece View Post
    hi im having abit of trouble with taylor series at the moment

    i understand the concept and can easily find a taylor series of a function to degree 3 or 4, however this semester im dealing with infinte complex series and forming a taylor series of a complex function.

    for example:

    Find the power series about the origin for (z^2)cos(z)

    i was wandering if there is an easier way to determine this without finding the first few derivatives and trying to figure out the series from what values we ontain.

    if someone could give some tips or somewhere where i could find some worked examples of this it would really help me out.

    Many Thanks
    You should know that

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

    \Rightarrow{z^2\cos(z)}=z^2\cdot\sum_{n=0}^{\infty  }\frac{(-1)^nz^{2n}}{(2n)!}=\sum_{n=0}^{\infty}\frac{(-1)^nz^{2n+2}}{(2n)!}
    Last edited by Mathstud28; November 6th 2008 at 03:52 PM. Reason: typo
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: January 26th 2010, 09:06 AM
  2. Taylor/Maclaurin series
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 11th 2009, 08:50 AM
  3. Using Series (MacLaurin/Taylor)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 5th 2009, 09:37 AM
  4. Taylor & MacLaurin series
    Posted in the Calculus Forum
    Replies: 15
    Last Post: May 11th 2008, 08:13 PM
  5. Maclaurin And Taylor Series
    Posted in the Calculus Forum
    Replies: 19
    Last Post: April 19th 2008, 10:02 PM

Search Tags


/mathhelpforum @mathhelpforum