Question: Problem 2: Consider the sequences given by x = (1)n, y = 2. (a) Prove that neither (xn) nor (yn) are bounded sequences, by using

Problem 2: Consider the sequences given by x" = (1)\"n, y" = 2\". (a) Prove that neither (xn) nor (yn) are bounded sequences, by using contradict-ion: assume that they are bounded, and use the Archimedean Property to reach the contradiction (recall that the AP has two versions, here you will need the one we have not used as often). (b) Prove that they are both divergent sequences

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