Question: 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 {q_n} that enumerates the rationals Q.Show that for any R{} there exists a subsequence {q_nk}such that lim_kq_nk=. Note: A sequence {q_n} enumerates Q if each number qQ appears in {q_n} exactly once.

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