摘要
判定正项级数敛散性有多种方法,D'Alembert判别法(或称比值审敛法)是其中比较适用的判别方法.基于D'Alembert判别法,利用正项级数部分和数列有界必收敛的原理,论证了两个定理,得到了适用判别正项级数的项是单调递减的这类正项级数敛散性的一种精细审敛法.
Among the several techniques to discriminate the convergent divergence of the series of positive terms, the D'Alembert discriminant technique is a suitable one, which is also called the ratio's inspection technique to the convergent divergent. On the basis of the D'Alembert discriminate technique, an intensive inspecting convergent divergence technique is obtained to discriminate suitably that the series'term is monotone decreasing of the convergent divergence to this kind of the series of positive terms.
出处
《兰州工业高等专科学校学报》
2004年第4期37-38,42,共3页
Journal of Lanzhou Higher Polytechnical College
