其绝对值级数∑∞n=1|un|∑𝑛=1∞|𝑢𝑛|发散,而∑∞n=
时间: 2024-08-13 14:04:56 浏览: 116
对于绝对值级数 ∑∞n=1|un|,如果序列 {un} 是正数序列并且随着 n 的增加无界增长(即存在某个常数 M > 0,使得对于所有 n,都有 |un| > M),那么这个级数会发散。根据绝对收敛测试[^4],如果一个级数的绝对值序列也发散,那么原级数也是发散的。
然而,如果你问的是 "∑∞n=?" 并且想表达的是一个未完成的级数表达式,例如 ∑∞n=1|un| 或者 ∑∞n=?|un|,通常我们需要具体的 u_n 序列来判断该级数是否收敛或发散。请提供完整的级数表达式以及 u_n 的具体形式,我们才能进行进一步讨论。
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