Evaluate the limit . underset(n to 00)...

Evaluate the limit .
`underset(n to 00)("lim") [(1+(1)/(n^(2)))(1+(2^(2))/(n^(2)))………(1+(n^(2))/(n^(2)))]^(1/n)`

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The correct Answer is:

`2e^((pi-4)/(2))`

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