Complicated Expression

Algebra Level 4

Let xx be a solution to the equation x2+x+2014=0x^2+x+2014=0.

Find the value of limni=12nxi2014i12+1n.\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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