代数和的等价无穷小代换  

Equivalent Replacement of Algebraic Sum of Infinitesimals

作　　者：蔡前凤 杨淑伶 CAI Qianfeng;YANG Shuling(College of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510090,China)

机构地区：[1]广东工业大学数学与统计学院,广东广州510090

出　　处：《高等数学研究》2024年第5期6-7,34,共3页Studies in College Mathematics

基　　金：广东省本科高校教学质量与教学改革工程建设项目(211220157/1130).

摘　　要：本文通过讨论无穷小代数和的阶数,获得了代数和运算能够使用等价无穷小代换的条件,并推广到商运算和幂指结构.最后用几个实例验证了结论的有效性.In this paper,we derive the conditions for the equivalence of infinitesimal replacements when a function is the algebraic sum of infinitesimals.This concept is then extended to include operations involving quotients and power exponent structures.Examples are provided to demonstrate the validity of these conclusions.

关 键 词：无穷小的阶数 等价无穷小 极限 

分 类 号：O172[理学—数学]