# Complicated Expression

Algebra Level 4

Let $$x$$ be a solution to the equation $$x^2+x+2014=0$$.

Find the value of $\lim\limits_{n\to \infty} \sqrt[\Large n]{\prod_{i=1}^{2n}\left|\dfrac{x^i}{2014^{\frac{i-1}{2}}}+1\right|}.$

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