用等价无穷小求极限

Using Equivalent Infinitesimal to Calculate Limits

本文讨论了用等价无穷小代换求一般极限的方法及等价无穷小代换在极限运算中的应用.同时给出了这些结果在高等数学中的应用.

This paper discusses the method to replace ordinary limits with equivalent infinitesimal and the use of replacement on e-quivalent infinitesimal in the mathematical calculations of limits.At the same time,the paper presents the application of these find-ings in advanced mathematics.