浅谈泰勒公式及其应用

泰勒公式是数学分析中重要的公式,它的基本思想是用多项式来逼近一个已知函数,而这个多项式的系数由给定函数的各阶导数确定。本文主要归纳了其在不等式证明、求极限、界的估计等方面的应用。

Taylor＇s formula is an important equation of mathematical analysis, it is the basic idea is to use polynomial approximation to a known function, and the polynomial coefficients given by the derivatives of the function determined. This paper describes the method to prove the Taylor formula, summarized in inequalities, find the limit, the estimated industry and other applications.