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Homework Help: Showing uniform convergence (or lack of) on [0,1]

  1. Aug 12, 2007 #1
    1. The problem statement, all variables and given/known data

    Hello! I've been tasked with figuring out if the following is uniformly convergent on [0,1] and I could use push in the right direction:


    2. Relevant equations

    3. The attempt at a solution

    Would picking M=1 in the weierstrass-m test show it not uniformly convergent?
  2. jcsd
  3. Aug 12, 2007 #2


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    Does it even converge pointwise?
  4. Aug 12, 2007 #3
    Oops, it oscillates between [-1,1], no?
    so does not converge pointwise.
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