Recent content by abcd999

  1. A

    Convergence of an Integral with Increasing Exponent

    I guess I was over thinking it. Thanks for your help.
  2. A

    Convergence of an Integral with Increasing Exponent

    It does, but in order to move the limit inside and use Lebesgue's, doesn't sin(pi*x^n) have to converge to a limit over the entire domain, not just [0,1/2]?
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    Convergence of an Integral with Increasing Exponent

    Homework Statement lim n \rightarrow\inf \int sin(pi*x^{n})dx ...integral is from x=0 to 1/2. Homework Equations The Attempt at a Solution Lebesgue's Dominated Convergence Theorem says that I can move the limit inside, but only if fn converges pointwise to a limit f, which I...