利用拉格朗日中值定理计算极限的注记

A Note on Calculating Limits with Lagrange Mean Value Theorem

在文献[2]的基础上进一步讨论利用拉格朗日中值定理计算未定式极限的细节.通过若干实例证实:与中值点采用粗糙估计形式相比,精细估计形式在计算中有更好的效果.文中明确了可以利用粗糙估计形式进行计算的未定式极限的基本特征,并且给出了在粗糙估计失效时的两种常用解决方案.

This paper discusses the details of using the Lagrange mean value theorem to calculate the indefinite limit based on the work of literature[2].Several examples show that:Compared with the use of rough estimate form in the median point,the fine estimate form has a better effect in the calculation.The paper defines the basic features of the indefinite limit that can be calculated using the rough estimate form,and the two common solutions for failures in rough estimation are given.