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Thread: Periodicity of functions

  1. #1
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    Periodicity of functions

    Does any one have interesting problems related to periodicity of functions?
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  2. #2
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    Quote Originally Posted by debanik1 View Post
    Does any one have interesting problems related to periodicity of functions?
    Problem: Prove that the function f(x) = \sin x + \sin(\sqrt2\,x) is not periodic.
    [Hint for solution: The only point where f'(x) = 1+\sqrt2 is x=0.]
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    MHF Contributor Bruno J.'s Avatar
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    Quote Originally Posted by Opalg View Post
    Problem: Prove that the function f(x) = \sin x + \sin(\sqrt2\,x) is not periodic.
    [Hint for solution: The only point where f'(x) = 1+\sqrt2 is x=0.]
    Or the more general problem : if m(x), n(x) are continuous functions having periods P, Q respectively, then m(x)+n(x) is periodic iff P/Q \in \mathbb{Q}.
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    thanks


    but i want more problems please
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  5. #5
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    Quote Originally Posted by debanik1 View Post
    thanks


    but i want more problems please
    Read post #4 here: http://www.mathhelpforum.com/math-he...-problems.html
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