Limit of Binomial Product

Calculus Level 3

\[ \large \lim_{n\rightarrow \infty} \, \sqrt[ \large n^{2}+n]{\binom{n}{0}\binom{n}{1}\binom{n}{2}\cdots \binom{n}{n}} \]

Find the value of the closed form of the above limit to 3 decimal places.

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