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两个无穷小量之比的函数单调性判别法
引用本文:岳嵘. 两个无穷小量之比的函数单调性判别法[J]. 山西师范大学学报:自然科学版, 2007, 21(3): 41-43
作者姓名:岳嵘
作者单位:山东科技大学公共课部,山东泰安271019
摘    要:对文献[1]给出的一个函数单调性的判别命题进行推广,得出两个无穷小量之比的单调性的判别命题1,2.利用结果可简便判别两个无穷小量之比的单调性及证明不等式.

关 键 词:单调性  判别法  中值定理  无穷小量
文章编号:1009-4490(2007)03-0041-03
修稿时间:2007-03-30

Ratio of Two Infinitely Small Quantity Function Monotonous Distinction Law
YUE Rong. Ratio of Two Infinitely Small Quantity Function Monotonous Distinction Law[J]. Journal of Shanxi Teachers University, 2007, 21(3): 41-43
Authors:YUE Rong
Abstract:It was promoted in this article that the function monotonous distinction proposition given in litera- ture [1]. Theorem 1 and 2 about ratio of two infinitely small quantity function monotonous are obtained. Using the result , it is easy to distinguish ratio of two infinitely small quantity function monotony and certify inequality.
Keywords:monotony   distinguish law   theorem of mean   infinitely small quantity
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