跪请把下列中文翻译为英文

来源:百度知道 编辑:UC知道 时间:2024/07/02 04:39:58
摘 要:泰勒(Taylor)公式在微分学中占有很重要的地位,尤其在解决一些具体的问题中有十分重要的应用,比如证明不等式,判断广义积分的敛散性,求函数的极限,求函数的高阶导数,判定某些复杂级数的敛散性,求解某些微分方程,以及近似计算等中的应用,因此本文将对这七个方面做深入的研究。
关键词:泰勒公式;不等式;广义积分;极限;高阶导数;复杂级数;微分方程

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.