Question
If $f$ is a function satisfying the equation $f(x-1)+f(x+1)=\sqrt{2} f(x)$, then prove that $f(x)$ is periodic with period 8 .
Step 1
Step 1: We are given the equation $f(x-1)+f(x+1)=\sqrt{2} f(x)$. Show more…
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