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Suppose the limit L = lim( n rarr oo) sq...

Suppose the limit L = `lim_( n rarr oo) sqrt(n) int_(0)^(1) (1)/((1+x^(2))^(n))` dx exists and is larger than `(1)/(2)` then

A

`(1)/(2) lt Llt 2 `

B

`2 lt L lt 3`

C

`3 lt L lt 4`

D

`L gt= 4`

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The correct Answer is:
A
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