Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A possible solution to the infinite summation of sin(x)

  1. Apr 27, 2012 #1
    So basically here's the deal:

    I believe there exists a P(x) defined on [-2π, 2π]

    such that over that interval P(x) = [itex]\sum^{\infty}_{n=0}[sin(πnx)][/itex]

    Its weird but I have a feeling that this might converge to a function such as tangent
    Last edited: Apr 27, 2012
  2. jcsd
  3. Apr 27, 2012 #2
    See here. You can see that the formula for the partial sum just oscilllates and doesn't approach any value as you go to infinity, except for x=0.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook