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关于“一致有界的一族无穷小的积是无穷小”定理
引用本文:姚琼,杨汉生.关于“一致有界的一族无穷小的积是无穷小”定理[J].大学数学,2014(2):91-93.
作者姓名:姚琼  杨汉生
作者单位:电子科技大学中山学院计算机学院,广东中山528400
摘    要:针对微积分教材关于"无穷小的积是否是无穷小"的命题的模糊叙述,证明"一致有界的一族无穷小的积仍是无穷小".

关 键 词:一致有界  无穷小的积  微积分

The Theorem for the Product of Uniformly Bound Infinitesimals Is Infinitesimal
YAO Qiong,YANG Han-sheng.The Theorem for the Product of Uniformly Bound Infinitesimals Is Infinitesimal[J].College Mathematics,2014(2):91-93.
Authors:YAO Qiong  YANG Han-sheng
Institution:(Department of Computer Engineering,Zhongshan Institute,University of Electronic Science and Technoibgy,Zhongshan ,Guangdong 528400 ,China)
Abstract:In the textbooks of the calculus and mathematical analysis,the proposition on 'the product of infinitesimals is an infintesimal' is fuzzy, in this paper, a perfect theorem for the product of uniformly bound infinitesimals is infinitesimal and its proof are given.
Keywords:uniformly bound  the product of infinitesimals  calculus
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