泰勒公式与泰勒级数的异同和典型应用

The Taylor Formula and Taylor Series and its Application

以高等数学中泰勒公式、泰勒级数为基础,探究泰勒公式与泰勒级数的区别与联系,将一元函数的泰勒公式推广到多元函数的泰勒公式,展现它们的一些应用,使泰勒公式与泰勒级数的内容系统化,以便于学员学习.

Based on the Taylor formula and Taylor series, the paper concludes its difference and connection, spreads Taylor formula from functions of one variable to multiple functions, gives some examples of application, form the content of Taylor formula and Taylor series into a system so that it＇s easy to learn.