正项级数敛散性判别法的综合探究

Comprehensive Investigation of Discriminating Convergence and Divergence in Series of Positive Terms

级数的中心问题是要判别其敛散性,在这方面已有许多丰富的研究成果。在已有结论的基础上归纳总结了正项级数敛散性判别法的技巧和方法,对有关判别法之间的强弱进行了归纳总结,并通过实例对正项级数敛散性判别进行梳理和强弱比较。

Discriminating convergence and divergence for series is very important in series theory, there are rich results in this respect. Based on the existing conclusions, the author summarizes the discriminating methods and skills of the convergence and divergence for positive term series and compares the strengthes and weaknesses of them through examples.