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If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo))...

If `x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo))))` , then the value of x is (A) `(sqrt7+1)/2` (B) `(sqrt6+1)/2` (C) `(sqrt3+1)/2` (D) `(sqrt5+1)/2`

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