# Figure-It-Out Function! - Part 6: The Second Reciprocal

Algebra Level 4

A function $$f(x)$$ is such that $$f(1) = 2$$, $$f(2)=1$$, and $$f(x)=\dfrac{1}{f(x-1)+f(x+1)}$$ for $$x \ge 2$$. Find

$\large (f(2014)f(2015))^{(f(2012)f(2013))^{...^{...^{(f(2)f(3))^{f(1)}}}}}$

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