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If U(n)=(1+(1)/(n^(2)))(1+(2^(2))/(n^(2)...

If `U_(n)=(1+(1)/(n^(2)))(1+(2^(2))/(n^(2)))^(2).............(1+(n^(2))/(n^(2)))^(n)`m then `lim_(n to oo)(U_(n))^((-4)/(n^(2)))` is equal to

A

`(4)/(e )`

B

`(16)/(e^(2))`

C

`(e^(2))/(16)`

D

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

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A)
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