4. Suppose that 0 < Xl < 1 and Xn+l = 1 - v'1 - Xn for...

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4. Suppose that 0 < Xl < 1 and Xn+l = 1 - v'1 - Xn for n E N. Prove that Xn 10 as n -t 00 and xn+dxn -t 1/2, as n -t 00. (Exercise 4.3 in Apostol [1].)

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