单调有界数列必有极限与柯西收敛准则等价性证明  

The Equal Value Certificate of the Essential Limit of Monotonic Bounded Sequence of Number and Cauchy Convergent Norm

作　　者：马爱江[1] 

机构地区：[1]新疆轻工职业技术学院,新疆乌鲁木齐830000

出　　处：《新疆教育学院学报》2003年第4期95-96,共2页Journal of Xinjiang Education Institute

摘　　要：单调有界数列必有极限是极限理论中一个很重要的结论 ,而柯西收敛准则则以另一种形式表达了这一结论。It is equal in value of proved that it had necessary limit which sequence of numbers are monotonous and bounded or converge of Cauchy's norm.

关 键 词：单调有界数列 数列极限 柯西收敛准则 柯西数列 

分 类 号：O171[理学—数学]