摘要
讨论了交错级数的收敛性,在正项级数判别法的基础之上,得出了交错级数的两个新的收敛准则,并且给出了严格的证明.新的收敛准则能进一步确定级数收敛时是绝对收敛还是条件收敛.
This paper discusse the astringency of alternating series and on base of the discriminance of positive term series, we get two new Convergence criterion of alternating series which have been proofed strictly. The new convergence criterion can furtherly confirm the series is absolute convergence or conditional convergence while it is convergent.
出处
《山东师范大学学报（自然科学版）》
CAS
2012年第1期41-43,46,共4页
Journal of Shandong Normal University(Natural Science)
关键词
交错级数
收敛准则
绝对收敛
条件收敛
ahemating series
convergence criterion
absolute convergence
conditional convergence
