5. Suppose that 0 < Xl < 2 and Xn+l = V2 + Xn for n E...

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5. Suppose that 0 < Xl < 2 and Xn+l = V2 + Xn for n E N. Prove that 0 < Xn

< Xn+l < 2 holds for all n E N.

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