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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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