Results 1 to 3 of 3

Math Help - Can somone please explain what they are asking? (Maclaurin Series)

  1. #1
    Newbie
    Joined
    Mar 2012
    From
    Imad Ghadie
    Posts
    2

    Can somone please explain what they are asking? (Maclaurin Series)

    Hey everyone!

    I'm trying to work on this assignment right now and I'm stuck on this question. I'm not to sure on what it wants. Here it is:

    Starting from the Maclaurin series for 1/(1-x), find the Maclaurin series of ln(1+x^4)

    If someone could start me off, that'd be awesome. Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    Re: Can somone please explain what they are asking? (Maclaurin Series)

    Quote Originally Posted by CainAndrews View Post
    Hey everyone!

    I'm trying to work on this assignment right now and I'm stuck on this question. I'm not to sure on what it wants. Here it is:

    Starting from the Maclaurin series for 1/(1-x), find the Maclaurin series of ln(1+x^4)

    If someone could start me off, that'd be awesome. Thanks!
    Maclaurin series for \frac{1}{1-x} = 1 + x + x^2 + x^3 + ...

    so ...

    \frac{1}{1+x} = \frac{1}{1-(-x)} = 1 - x + x^2 - x^3 + ...

    integrate ...

    f(x) = \ln(1+x) = C + x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + ...

    since f(0) = 0 , C = 0

    f(x) = \ln(1+x) = x - \frac{x^2}{2} + \frac{x^3}{3} - \frac{x^4}{4} + ...

    f(x^4) = \ln(1+x^4) = x^4 - \frac{x^8}{2} + \frac{x^{12}}{3} - \frac{x^{16}}{4} + ...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2012
    From
    Imad Ghadie
    Posts
    2

    Re: Can somone please explain what they are asking? (Maclaurin Series)

    You're a saint. THANK YOU!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: January 26th 2010, 08:06 AM
  2. Replies: 2
    Last Post: September 16th 2009, 07:56 AM
  3. Multiplying power series - Maclaurin series
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 7th 2009, 11:24 PM
  4. Homework somone help me please?
    Posted in the Algebra Forum
    Replies: 9
    Last Post: November 16th 2008, 05:28 PM
  5. Replies: 1
    Last Post: May 5th 2008, 09:44 PM

Search Tags


/mathhelpforum @mathhelpforum