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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)`

A

`3e^((pi-4)/(6))`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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