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If `x_1=sqrt(3) and x_(n+1)=(x_n)/(1+sqrt(1+x_ n^2)),AA n in N` then `lim_(n->oo)2^n x_n` is equal to

A

`3/(2pi)`

B

`2/(3pi)`

C

`(3pi)/3`

D

`(3pi)/2`

Text Solution

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The correct Answer is:
C
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