1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Fourier Analysis - uniform convergence on (-inf, inf)?

  1. Jan 21, 2009 #1
    I have a question that I just don't know how to go about.

    " Let Fn = x/(1+(n^2)(x^2)) where n=1,2,3,... show that Fn converges uniformly on (-infinity,infinity)"

    To be honest, I don't even know where to start. Is this a series? How would I solve this. Would the Abel's test apply?
  2. jcsd
  3. Jan 21, 2009 #2
    Try using the ratio test to determine if a series converges.


    Take this limit for n approaches infinity and for n approach negative infinity
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook