Mathematics

Mathematics

Problem

If y=f(x)y = f(x) satisfying the condition f(x−1)+f(x+1)=3f(x)f(x-1) + f(x+1) = \sqrt{3}f(x) , ∀x∈R\forall x \in \mathbb{R} , then f(x)f(x) is periodic or not?

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