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!

Continuity on R of Series

  1. Aug 13, 2007 #1
    1. The problem statement, all variables and given/known data

    Show that [tex]\Sigma[/tex] (from n=1 to infinity) of sin(nx)/n^2
    is continuous on R

    2. Relevant equations

    3. The attempt at a solution
    No idea, any help would be greatly appreciated.
  2. jcsd
  3. Aug 13, 2007 #2
    Well, that would depend on what you're allowed to use. But uniform convergence of the series pretty much implies it immediately. And showing uniform convergence is easy.

    Otherwise, I imagine it's a bit trickier, and I'd have to think about it.
  4. Aug 13, 2007 #3
    I am allowed to use uniform convergence. Thanks!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?