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A real valued function satisfies the following conditions:
(1) f(x−1)+f(x+1)=2f(x) f \left( x-1 \right) +f \left( x+1 \right) = \sqrt{ 2 } f \left( x \right)f(x−1)+f(x+1)=2f(x) for x<−1 x < -1x<−1 or x>7 x > 7 x>7. (2) f(x)=x for 0≤x≤7. f\left( x \right) =x \mbox{ for } 0\le x\le 7.f(x)=x for 0≤x≤7.
Find the value of f(87)f(87)f(87).
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