Suppose (an) is a sequence with the property that an E Z for all n e N. Answer the following; each part is an independent question. (a) Is it possible that an → 3.5? Justify your answer. (b) Suppose furthermore that an + am for all n + m. Prove that an diverges. (c) Suppose furthermore that (an) converges. What can be said about the sequence? Justify your answer.

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