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Math Help - Continuity of function?

  1. #1
    Super Member fardeen_gen's Avatar
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    Continuity of function?

    If f(x) and g(x) are two functions continuous everywhere and F(x) =
    lim {f(x) + x^2n . g(x)}/(1 + x^2n)
    n→∞
    then prove that F(x) is continuous everywhere except at x = -1, 1. Find the condition on f(x), g(x) which makes F(x) continuous everywhere.
    Last edited by fardeen_gen; April 27th 2009 at 07:57 PM.
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