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Homework Help: Real Power Series questions

  1. Jan 19, 2010 #1
    1. The problem statement, all variables and given/known data

    1.Is there any non-trivial power series that uniformly converges in all R? (a non-trivial power series has infinite non-zero coefficients...)

    2. 2. Let f(X) be defined in [a,b]. We'll define fn(x) = [nf(x)] / n where [t]=floor value of t....
    Check if the series (fn(x)) uniformly converges in [a,b].

    2. Relevant equations
    3. The attempt at a solution

    I've no idea how to start solving these questions...I realy need some guidance in those...

    Thanks
     
  2. jcsd
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