关于等价无穷小替换的一个注记  

A Note on Equivalent Infinitesimals Replacement

作　　者：金暠 黄容[1] 

机构地区：[1]上海工程技术大学电子电气工程学院,上海201600

出　　处：《芜湖职业技术学院学报》2015年第4期75-78,共4页Journal of Wuhu Institute of Technology

摘　　要：利用等价无穷小替换可以简化很多求极限的题目,但是在现在的教材中对此方法并没有进行全面地讨论。基于此,本文从加减乘除各方面探讨等价无穷小替换,并给出不能替换时的处理方法。Equivalent infinitesimal replacement can simplify a lot of problems concerning evaluating the limit. However, there hasn＇t been full discussion on this solution in current textbooks yet. As a result, equivalent infinitesimal replacement was discussed from aspects of adding, subtracting, multiplying and dividing and the solutions to unavailable replacement was given.

关 键 词：等价无穷小 替换 加 减 乘 除 泰勒公式 

分 类 号：O152.5[理学—数学]