Answer to Question #340521 in Real Analysis for Talifhani

Question #340521

Let S = {a1, . . . , ap} be a subset of M, for some p ∈ N∗



. Let (xn)n



be a sequence in S.



(a) Show that there is some j, 1 ≤ j ≤ p and a subsequence (xnk)k



of (xn) such



that xnk = aj for all k ∈ N∗



.

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