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Mathematics版 - question about sequence convergence

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相关话题的讨论汇总
话题: lim话题: sequence话题: exist话题: question

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l******o 发帖数: 1550	1 for a sequence , x_(m,n) is it true that lim_m ( lim_n ) (x) = lim_n ( lim_m ) (x) (if exist, or even bounded) iff lim_m (x),lim_n (x) exist for any n and m?
H****h 发帖数: 1037	2 未必。比如x_{m,n}=1 if m>n; =0 if n 【在 l******o 的大作中提到】 : for a sequence , x_(m,n) : is it true that : lim_m ( lim_n ) (x) = lim_n ( lim_m ) (x) (if exist, or even bounded) : iff lim_m (x),lim_n (x) exist for any n and m?
l******o 发帖数: 1550	3 那有什么充要条件么？【在 H****h 的大作中提到】 : 未必。比如x_{m,n}=1 if m>n; =0 if n

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● about convergence in probability	● Does absolute convergence imply limit n a_n = 0?
● 请教各位大侠一道概率题！求解	● cauchy sequence
● a question about convergence almost surely	● ratio test of a power series when only even or odd terms exist
● 问个数学分析的证明题，在线急等	● A question in Analysis
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相关话题的讨论汇总
话题: lim话题: sequence话题: exist话题: question

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