摘要
本文从调和级数前n项和的欧拉估计出发,定义正项发散级数发散速度序列,给出判别正项级数发散速度快慢法则.并依据此法构造出发散速度无限降低的正项级数序列,其比调和级数发散速度更慢.
Using Euler’s estimation of the N-partial sum of the harmonic series, this paper defines the divergent speed sequence for a positive divergent series and gives a rule to distinguish the divergent speed of a positive series. Based on this method, a sequence of positive series with decreasing divergent speed is constructed, which diverges slower than the harmonic series.
作者
邱晨阳
QIU Chenyang(School of Science,Beijing Jiaotong University,Beijing 100089)
出处
《高等数学研究》
2019年第3期7-9,共3页
Studies in College Mathematics
关键词
调和级数
发散速度
harmonic series
divergent speed