泰勒定理在考研数学中的应用  

The application of Taylor’s Theorem in postgraduate mathematics examination

作　　者：张梦燕 杨小樱 何桃顺[1] ZHANG Mengyan;YANG Xiaoying;HE Taoshun(Mathematics and Information Science School of Neijiang Normal University,Neijiang Sichuan 641110,China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641100

出　　处：《四川文理学院学报》2023年第2期31-38,共8页Sichuan University of Arts and Science Journal

基　　金：内江师范学院线上线下混合式一流课程建设专项(JK202066)。

摘　　要：泰勒定理是高等数学课程中的重要内容,该部分内容的技巧性比较强,在历年的研究生入学考试中备受考研数学命题专家的青睐.以考研数学真题为案例,系统的讨论泰勒定理在求极限、求高阶导数、证明不等式和等式等方面的应用及解题技巧,并与其它方法进行比较.Taylor theorem is an important part of the higher mathematics curriculum and has been favored by the mathematical proposition experts in the postgraduate entrance examination over the years due to its high skill.Hence,this theorem was systematically illustrated and compared with other methods to show its applications and problem-solving skills such as in seeking limits,higher derivatives and proving inequalities and equations by using the real examples from the postgraduate entrance examinations.

关 键 词：泰勒定理 极限 高阶导数 不等式 

分 类 号：O13[理学—数学]