泰勒定理在考研数学中的应用

The application of Taylor’s Theorem in postgraduate mathematics examination

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.