Define the sequence of real numbers {x, } as follows: x1 = 1 and Xn+1 for n E N 2+ Xn (a) Prove that there
Define the sequence of real numbers {x, } as follows: x1 = 1 and Xn+1 for n E N 2+ Xn (a) Prove that there exists ce (0,1) such that (X,+1 - X,| S cx, - X-| for any n > 1. (8 marks)
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