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Math Help - Periodicity of a function

  1. #1
    Member javax's Avatar
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    Periodicity of a function

    Hello. I need some help on solving the following problem

    Review the periodicity of the following function:

    f(x)=x+\frac{2x}{x^2-1}

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by javax View Post
    Hello. I need some help on solving the following problem

    Review the periodicity of the following function:

    f(x)=x+\frac{2x}{x^2-1}

    Thanks in advance.
    This function is clearly not periodic.
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  3. #3
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    In general rational functions, including polynomials, are NOT periodic.
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  4. #4
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    Just to clarify, the function you have given is a rational function, ie. it can be written as the quotient of two polynomials. Almost all rational functions are not periodic. The exceptions are the constant functions which are very periodic (they have period p for every p).
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