摘要
指出了某些高等数学教学参考书在极限和导数计算中的一些概念疏漏.为了教学的需要,补充了无穷小和的等价性定理与单侧导数、单侧极限的联系定理.还讨论了广义平均数、解析不等式与导函数间断点的类型.
In this paper, some conception ignorances in limit and derivative calculation of some higher mathematics teaching reference books were pointed out. To the necessity of teaching, equality theory of the sum of infinitely small and connected theory of single dense derivative and single dense limit have been added to this paper. Generalized average, analytic inequalities and the types of interrupted point of derived function were discussed in this paper, too.
关键词
单侧导数
单侧极限
联系定理
解析不等式
equality theory of the sum of infinitely small
connected theory of single dense
derivative and single dense limit
general average
analytic inequality
