多项交错级数敛散性的判定方法

On the convergence criteria for multi-alternating series

对多项交错级数及广义交错级数的敛散性进行了详细深入的讨论,把适用于交错级数的一些判别方法推广到多项交错级数及广义交错级数上来,应用这些判别方法能比较容易地判断多项交错级数及广义交错级数是绝对收敛、条件收敛还是发散.

In this paper, the convergence and divergence of ally alternating series have been discussed. Some criterion multi-alternating series and gener s for the convergence of muhi-al ternating series and generally alternating series are given. With these results ,it can be easily lternating series is absolutelyconvergent, conditionally convergent or divergent.