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Homework Help: 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?
     
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