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.
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)
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
equivalent infinitesimal
replacement
0/0 indeterminate form limit
fractional form limit
order of infinitesimal
