Question: (b) Let E = {el, ..., ep] where pe N* be a finite subset of M consisting of distinct elements. Let (On ) be a

(b) Let E = {el, ..., ep] where pe N* be a finite subset of M consisting of distinct elements. Let (On ) be a sequence in E. That is, on E E for all n. Set Q; = {n E N: an = e;} , for j = 1, ..., p. (i) Argue using the above defined sets Q; to derive the existence of a constant sequence (an, ) k in M. (ii) Show that if every infinite subset of M has at least one accumulation point, then M is compact

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