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Math Help - Does f`(0) exist?

  1. #1
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    Does f`(0) exist?

    Should it be 0? Since if x = 0 it is at 0? THANK YOU!!!


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  2. #2
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    [quote=miss.strw;378426] Should it be 0? Since if x = 0 it is at 0? THANK YOU!!!



    Evaluate the limit when x --> 0 of [f(x) - f(0)]/x , which is:

    x^2*sin(1/x)/x = x*sin(1/x) --> 0 since sin(1/x) is bounded.

    So f'(0) = 0

    Tonio
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