等价无穷小替换求极限的一些问题研究  

Study on Limit Computation by Using the Replacement with Equivalent Infinitesimals

作　　者：杨继明[1] 

机构地区：[1]湖南工程学院理学院,湘潭411104

出　　处：《湖南工程学院学报（自然科学版）》2014年第1期41-43,共3页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：在利用等价无穷小替换求极限的过程中,有些分式的极限不能直接用等价无穷小替换.在讲授时,应该在掌握基本概念和基本原理的基础上,通过实际算例进行重点阐明和运用.针对不同的情形,给出了一些方法和建议.During the limit computation, the replacement with equivalent infinitesimals is not applied di- rectly in some fractions. When teaching, some examples should be given to explain how to use them after the students have mastered the basic concepts and the basic principles. Some methods and advice are pro- posed for different cases.

关 键 词：等价无穷小 替换 极限 

分 类 号：O241.8[理学—计算数学]