高等数学中几类常见问题解析

Analysis on Some Frequent Question in Advanced Mathematics

高等数学是大学数学类课程中的一门基础课程,在各个领域及学科中发挥着重要的作用.文章针对教学当中遇到的几类常见问题,提出了改进意见;给出了一类特殊代数和下的等价无穷小代换的方法;探讨了罗比达法则的适用范围以及柯西中值定理的证明.

As a fundamental course in college curriculum, Advanced Mathematics has played an increasingly important role in many fields and subjects. While learning, some students are inclined to make mistakes because of incomplete understanding of the theorem and the definition. The paper analyzes some frequent questions, and puts forward the views of reform; it popularizes the us- age of equivalent infinitesimal in integral and sum and explores the proof Cauchy mean value theorem and area of application of L＇ Hospital rule.