1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Summation with infinity

  1. Nov 21, 2009 #1
    1. The problem statement, all variables and given/known data

    what is the summation of a function where n=1 to n=infinity?

    For example, given a function sin[(pi)nt].

    2. Relevant equations



    3. The attempt at a solution

    I asking how I get that
    I do not know what should I do
     
  2. jcsd
  3. Nov 22, 2009 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi darkmagic! :smile:

    (have a pi: π and an infinity: ∞ :wink:)
    It's a different method in each case …

    just choose the one that seems easiest.

    In this case, either sum from n = 1 to N, and use the standard trigonometric identities for (sinA + sinB) etc, or (even easier :wink:) write it as Im(∑ einπt) :smile:
     
  4. Nov 22, 2009 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    That is a Fourier series which is a huge field of mathematics in itself.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Summation with infinity
  1. Summation ? (Replies: 4)

  2. Summation problem (Replies: 4)

Loading...