用等价无穷小代换求极限的误区及一点补充  

Mistakes in Finding Limits with Equivalence Infinitesimal Replacement and Some Supplement

作　　者：殷君芳[1] 

机构地区：[1]江苏财经职业技术学院基础部,江苏淮安223003

出　　处：《宜春学院学报》2011年第4期25-26,共2页Journal of Yichun University

摘　　要：等价无穷小代换方法是求极限中最常用的方法之一,利用等价无穷小代换方法求极限可以简化计算。分析了学生用等价无穷小代换求极限的常见错误;探讨了极限式中的和差项用等价无穷小代换的条件,并给出了相应的实例。Equivalence infinitesimal replacement is one of the most common methods used to find limits.The calculation for finding limits can be simplified with equivalence infinitesimal replacement theorem.This paper analyses the common mistakes in finding limits by equivalence infinitesimal replacement and discusses the condition for the limiting equations in which the items in sum or difference can be replaced by equivalence infinitesimal;at the same time,some application examples are given.

关 键 词：等价无穷小 代换 极限 

分 类 号：O171[理学—数学]