| 正项级数两种判敛法的关系 |
| |
| 引用本文： | 曹春芳,王卫勤.正项级数两种判敛法的关系[J].泰州职业技术学院学报,2006,6(6):68-69. |
| |
| 作者姓名： | 曹春芳 王卫勤 |
| |
| 作者单位： | 泰州师范高等专科学校,江苏,泰州,225300 |
| |
| 摘 要： | 讨论了正项级数的两种判别法：比值判别法和根值判别法，以及两者的关系，从一个引理出发证明了凡是可用比值判别法的正项级数必能用根值判别法，在一定条件下逆命题也成立。
|
| 关 键 词： | 正项级数 比值收敛法 根值收敛法 |
| 文章编号： | 1671-0142(2006)06-0068-02 |
The Relation of Two Convergence Methods of Positive Term Series |
| |
| CAO Chun-fang,WANG Wei-qin.The Relation of Two Convergence Methods of Positive Term Series[J].Journal of Taizhou Polytechnical Institute,2006,6(6):68-69. |
| |
| Authors: | CAO Chun-fang WANG Wei-qin |
| |
| Institution: | Taizhou Normal College, Taizhou Jiangsu 225300, China |
| |
| Abstract: | This article introduces two convergence methods of positive term series: The ratio and the radix convergence method,as well as the relationship between the two methods.It has been proven that the positive term series which can use the ratio discriminance method may also use the radix discriminance law,conversely it is unnecessarily true.But the inverse proposition also comes true under certain condition. |
| |
| Keywords: | positive term series ratio convergence method radix convergence method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
