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Consider a sequence {q n } that enumerates the rationals Q.Show that for any R{} there exists a subsequence {q nk }such that lim k

Consider a sequence {qn} that enumerates the rationals Q.Show that for any R{} there exists a subsequence {qnk}such that limkqnk=. Note: A sequence {qn} enumerates Q if each number qQ appears in {qn} exactly once.

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