Let function \( f(x) \) satisfying the relation \( f(x+y)+f(x-y)= \...

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Let function \( f(x) \) satisfying the relation \( f(x+y)+f(x-y)= \)
\( \mathrm{P} \) \( 2 f(x) \cdot f(y) \), where \( f(0) \neq 0 \).Prove that it is an even

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