# We are in the right year for this! - (3)

Calculus Level 5

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

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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