# Remembering previous year

Algebra Level 5

If $$f_{1}(x)=||x|-2|$$ and $$f_{n}(x)=|f_{n-1}(x)-2|$$ for $$n\geq2, n \in \mathbb{N}$$, then find the number of solutions of the equation $$f_{2015}(x)=2$$.

Notation: $$| \cdot |$$ denotes the absolute value function.

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