If x(n+1)=sqrt((1+xn)/2) and |x0|lt1 n ...

If `x_(n+1)=sqrt((1+x_n)/2)` and `|x_0|lt1 ` `n in W` then `lim_(n->oo)sqrt(1-x_0^2)/(x_1x_2x_3...x_(n+1))`=

A

`-1`

B

`1`

C

`cos^(-1)(x_(0)+1)`

D

`cos^(-1)(x_(0))`

Text Solution

Verified by Experts

The correct Answer is:

D

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