# Sequence Of Cube Roots

Calculus Level 2

A sequence adheres to the recursion relation $$a_{n}=\sqrt[3]{a_{n-1}a_{n-2}a_{n-3}}$$ with initial terms $$a_{0}=1,a_{1}=2,a_{2}=1$$.

As $$n$$ tends to infinity, what is the limit of $$a_n$$ correct to 2 decimal places?

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