\[ \large \lim_{n\to\infty} \left( \frac{u_{n+1}}{u_1 u_2 u_3\cdots u_n}\right)^2 \]

Given a recurrence relation \(u_{n+1} = u_n ^2 - 2 \) with \(u_1 = \sqrt{2015} \), find the value of the limit above.

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