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Let {a_n} be a sequence of real numbers, if for every subsequence {a_n_k} there exists a further subsequence {a_n_k_j} with liminf a_n_k_j >= b, then liminf a_n >= b. thanks in advance. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.136.133.8
math1209:反證:若 liminf a_n := a < b, 則...顯然產生矛盾 12/23 12:59