1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Sequence converge uniformly?

  1. Apr 27, 2009 #1
    Sequence converge uniformly???

    1. The problem statement, all variables and given/known data

    Define f_{n}: (0,∞) → R, through f_{n} (x) = π*x*exp(-πx), x > 0.
    Does the sequence converge uniformly in (0,∞) when n → ∞?

    f_{n} = f subscript n

    Can somebody please show me all the steps? Any ideas where i can start?
  2. jcsd
  3. Apr 27, 2009 #2
    Re: Sequence converge uniformly???

    Is the Uniform convergence theorem a good approach?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook