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Prove that the sequence x(1)=sqrtx, x(2)...

Prove that the sequence `x_(1)=sqrtx, x_(2)=sqrt(a+sqrta)`,
`x_(3)=sqrt(a+sqrt(+sqrt(a)), x_(n)=sqrt(a+sqrt(a+.....+sqrta))` has the limits `b=(sqrt(4a+1)+1)//2`

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