Answer to Question #340521 in Real Analysis for Talifhani

Question

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∗

.

Answer 1

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