泰勒公式的结构分析与应用

Structure Analysis and Application of Taylor Expansion Theorem

摘要: 泰勒中值定理是用微分理论研究函数性质的一个重要工具，也是一个教学难点。通过对泰勒中值定理结构的分析，揭示掌握泰勒公式的核心思想是对特殊点的信息挖掘，为学生掌握泰勒公式及其应用提供帮助。

Abstract: Taylor expansion theorem is an important tool to study the properties of functions with differential theory, and it is also a teaching difficulty. Through the analysis of the structure of Taylor expansion theorem, it is revealed that the core idea of mastering Taylor expansion formula is information mining of special points, which provides help for students to master Taylor expansion formula and its application.