Question

$\sf{ Lim \: n \: {}^{ - \frac{1}{2}(1 + \frac{1}{n} ) } \: . \: 1 {}^{2} \: . \: 2 {}^{2} \: . \: 3 {}^{2}....n {}^{n} )} {}^{ \: \frac{1}{n {}^{2} } } \\ \sf{ n \rightarrow \infty \: }$
Equals to ?
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Answer 1

Answer:

is this is a olympiad question pls tell

Answer 2

KEEP SMILING...(⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)⁠✧⁠*⁠。