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Thread: Continuity problem

  1. November 30th 2009, 03:41 PM #1
    gixxer998
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    Continuity problem

    Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.
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  2. November 30th 2009, 03:48 PM #2
    Plato
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    Quote Originally Posted by gixxer998 View Post
    Show that if f and g are uniformly continuous on a subset A of Reals, then f+g is uniformly continuous on A.
    Note that |(f+g)(x)-(f+g)(y)|\le |f(x)-f(y)|+|g(x)-g(y)|
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« uniform differentiable => uniform continuity | show a function and it's inverse is stricty increasing »

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