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Thread: uniform continuity problem unsolved

  1. #1
    Jun 2012

    uniform continuity problem unsolved

    prove that f(x)=sinx/x is a uniformly continous in R.
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  2. #2
    MHF Contributor

    Apr 2005

    Re: uniform continuity problem unsolved

    What is your difficulty? Do you know the definition of "uniformly continuous"?

    (First point you need to deal with is that you cannot prove the statement as given- it isn't true! f(x)= sin(x)/x is not defined at x= 0 and so cannot be continuous there. The function "f(x)= sin(x)/x for x not equal to 0, f(0)= 1" is uniformly continuous in R.)
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