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阿Q吧 > 高数。判断级数绝对收敛和条件收敛的前提是级数其本身收敛，那怎么判断其本身是否收敛？

高数。判断级数绝对收敛和条件收敛的前提是级数其本身收敛，那怎么判断其本身是否收敛？

2025-03-16 17:31:18

推荐回答（1个）

回答1：

1.首先判断是不是交错级数
①.如果是就直接用莱布尼兹判别法判断是否收敛，若为收敛则需再加绝对值判断是否为条件收敛。
② 如果不是交错级数，加个绝对值使它变成正项级数，然后按具体情况选择判别法判断是否收敛；若收敛则为绝对收敛，若发散,按题目条件判断此时的原级数是否也发散，若否，则为条件收敛。
满意请采纳，谢谢。

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