Results 1 to 3 of 3

Math Help - Infinite series. calculus II?

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    14

    Infinite series. calculus II?

    Give an example of an infinite series which equals pi/4, which has no term (no multiple) of pi...the series should contain an infinite number of non zero distinct terms

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Failure's Avatar
    Joined
    Jul 2009
    From
    Zürich
    Posts
    555
    Quote Originally Posted by andrewt328 View Post
    Give an example of an infinite series which equals pi/4, which has no term (no multiple) of pi...the series should contain an infinite number of non zero distinct terms

    thanks
    \sum_{k=1}^\infty \frac{(-1)^{k}}{2k-1}=\arctan(1)=\frac{\pi}{4}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2009
    Posts
    14
    thanks a ton
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: August 2nd 2010, 05:04 PM
  2. Calculus-Infinite Series Pre-exam problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 20th 2010, 06:17 AM
  3. Replies: 2
    Last Post: September 16th 2009, 07:56 AM
  4. Calculus I: infinite series
    Posted in the Math Challenge Problems Forum
    Replies: 5
    Last Post: March 28th 2009, 12:29 PM
  5. Replies: 1
    Last Post: May 5th 2008, 09:44 PM

Search Tags


/mathhelpforum @mathhelpforum