泰勒公式在实分析上的探究与应用  

A Study of Applicaton of Taylor's Formula to Real Analysis

作　　者：徐佳文 朱莉萨[1] XU Jia-wen;ZHU Li-sa(Jilin Engineering Normal University, Changchun Jilin 130052, China)

机构地区：[1]吉林工程技术师范学院,吉林长春130052

出　　处：《吉林工程技术师范学院学报》2020年第7期91-94,共4页Journal of Jilin Engineering Normal University

摘　　要：针对一元函数泰勒公式,介绍泰勒定理的证明、泰勒公式的形式,结合典型例题重点归纳泰勒公式在实分析中的六种应用:求函数极限、证明不等式、根的存在性、级数敛散性的判断、积分问题与导数问题,深入体会应用泰勒公式解决问题的思想并在实际问题中灵活运用。An introduction was made in the paper below to Taylor equation of unary function including its proving process and forms as well as its 6 types of application to real analysis such as calculation of function limit,proving of inequations,existence of roots,judgment of convergence or divergence of series,calculation of integral and derivative,which may be helpful for understanding the idea of solving mathematical problems with the formula in practice.

关 键 词：数学分析 泰勒定理 泰勒公式应用 

分 类 号：O13[理学—数学]