关于等价无穷小代换的推广  

On Extension of Equivalent Infinitesimal Replacement

作　　者：文传军[1] 华婷[1] 许定亮[1] 

机构地区：[1]常州工学院理学院,江苏常州213002

出　　处：《常州工学院学报》2015年第1期21-23,43,共4页Journal of Changzhou Institute of Technology

基　　金：常州工学院教学改革研究课题(J120325;A3-4403-14-011)

摘　　要：等价无穷小代换是计算0/0型极限的重要方法,但在实际应用中还存在一些不足之处。通过研究该方法,得到了函数乘除极限形式下可直接代换的结论,并讨论分析了加减法极限情况下的等价代换。Equivalent infinitesimal replacement is an important method to resolve 0/0 indeterminate form limit, but there are defects in application. With a study on this method, this paper concluded that equivalent infinitesimal can directly replace while the limit form is of multiplication and division, and discussed the e- quivalent replacement while the limit form is of addition and subtraction.

关 键 词：等价无穷小 代换运算 0/0未定型极限 分式形式极限 无穷小的阶 

分 类 号：G642[文化科学—高等教育学]