泰勒公式的应用 毕业设计(论文).doc

毕业设计(论文) 课 题 名 称 学 生 姓 名 学 号 系、年级专业 指 导 教 师 职 称 2009年 月 日【摘要】【关键词】The application of Taylor Formula Abstract Taylor formula is one of more important formula and has broader applications to mathematical analysis and study in the university, In the approximate calculation it has unique advantages, It can be transformed non-linear problem into a linear problem, and meet the requirements of high precision. In addition, Taylor formula applies to solve the limitation , judge the Convergence and Divergence of Series and prove a variety of? Inequality and so on.It is an important guide for us to have a better understanding of Tayor formula′great functions, to exploit our ways to thinking problems, to improve our ability in analyzing and solving problems and multi-use knowledge. Key words Taylor formula; limitation; approximate calculation; convergent-divergent discriminution; 目 录 中文摘要.........................................................2 英文摘要.........................................................3 一.泰勒公式的引入..................................................5 泰勒公式...........................................................6 二.泰勒公式的应用................................................ 7 1.求极限........................................................ ...7 2.在定积分不等式中的运用......................................... 7 3.在代数不等式中的运用........................................... 8 4.在导函数不等式中的运用.................. ..................9 5.判断敛散性..................................................... 11 6.求近似计算................................................... 11 7.函数的麦克劳林展开式........................................ 12 三.结束语....................................................... 13 致谢词.