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f(x-y)+f(x+y)=2f(x)f(y) AA x,y in R and ...

`f(x-y)+f(x+y)=2f(x)f(y) AA x,y in R` and for some value of `alpha in R^(+)`, `f(alpha)=-1` then prove that `f(x)` is periodic and find its fundamental period.

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