Question: Question 1. (20 marks) Let S = {(-1) (1-1): neN), where N is the set of all natural numbers. (i) Prove that S is

Question 1. (20 marks) Let S = {(-1)" (1-1): neN), where N

Question 1. (20 marks) Let S = {(-1)" (1-1): neN), where N is the set of all natural numbers. (i) Prove that S is bounded, that is, m (-1)" (1-4) M. VnEN, for some m, M R. (ii) Find sup S and inf S.

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