Hello. I need some help on solving the following problem

Review the periodicity of the following function:

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

Thanks in advance.

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- Jan 9th 2011, 12:13 PMjavaxPeriodicity of a function
Hello. I need some help on solving the following problem

Review the periodicity of the following function:

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

Thanks in advance. - Jan 9th 2011, 12:17 PMmr fantastic
- Jan 9th 2011, 02:33 PMHallsofIvy
In general rational functions, including polynomials, are NOT periodic.

- Jan 9th 2011, 04:29 PMDrSteve
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).