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Very hard integral limit

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Post Fri Jan 13, 2017 4:27 pm

Posts: 2
I have no idea how to solve this
\begin{align*}
\lim_{n\to \infty}\sqrt[n]{\int_0^1\int_0^1\int_0^1\frac{x^n(1-x)^ny^n(1-y)^nz^n(1-z)^n}{[1-(1-xy)z]^{n+1}}d x dydz}
\end{align*}

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