Limit of a continuous product!

Calculus Level 4

\[ \large \lim_{n\to\infty} \frac{\sqrt[n]{\left(\displaystyle \prod_{k=1}^n k!\right) \left(\displaystyle \prod_{k=1}^n k^{k-1}\right)}}{n^n} = \ ? \]

Give your answer to 1 decimal place.

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