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p级数如何判断是发散还是收敛

更新时间： 2020-10-21 00:00:00

p级数判断是发散还是收敛的方法：当p>1时，p级数收敛；当1≥p>0时，p级数发散。当p=1时，得到调和级数：1+1/2+1/3+…+1/n+…。

形如1+1/2^p+1/3^p+…+1/n^p+…（p>0）的级数称为p级数。p级数又称超调和级数，是指数学中一种特殊的正项级数。当p=1时，p级数退化为调和级数。p级数是重要的正项级数，是用来判断其它正项级数敛散性的重要级数。

关键词：级数如何判断发散还是收敛

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