Results 1 to 3 of 3

Thread: series problem

  1. April 14th 2010, 08:44 PM #1
    yoman360
    yoman360 is offline
    Senior Member
    Joined
    Apr 2009
    Posts
    253

    series problem

    if f(x)= \sum_{k=0}^{\infty} (cos^2x)^k, then f(\frac{\pi}{4}) is
    Follow Math Help Forum on Facebook and Google+
  2. April 14th 2010, 08:50 PM #2
    maddas
    maddas is offline
    Senior Member
    Joined
    Feb 2010
    Posts
    422
    \cos^2(\frac\pi4) = \frac12.
    Follow Math Help Forum on Facebook and Google+
  3. April 14th 2010, 11:22 PM #3
    HallsofIvy
    HallsofIvy is offline
    MHF Contributor
    Joined
    Apr 2005
    Posts
    13,724
    Thanks
    546
    So this is simply the geometric sum \sum_{k=0}^\infty \left(\frac{1}{2}\right)^2
    Follow Math Help Forum on Facebook and Google+
« Divergence of a series | Lines Planes and vectors in R3 Problem »

Similar Math Help Forum Discussions

  1. Exploiting geometric series with power series to find Taylors series
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 29th 2010, 06:11 AM
  2. Serious Series Problem II
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 9th 2010, 04:36 PM
  3. Series Problem
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: February 7th 2010, 01:02 AM
  4. question about power series, taylor series, maclaurin series
    Posted in the Calculus Forum
    Replies: 0
    Last Post: January 26th 2010, 08:06 AM
  5. Another Series problem
    Posted in the Calculus Forum
    Replies: 9
    Last Post: October 22nd 2008, 11:30 PM

Search Tags


/mathhelpforum @mathhelpforum