极限的计算方法与技巧 毕业论文.doc

江西师范大学数学与信息科学学院学士学位论文极限的计算方法与技巧 Limit calculation method and skill 姓名: 学号: 090 1 学院: 数学与信息科学学院专业: 数学与应用数学指导老师: (讲师) 完成时间: 2013 年3月9日极限的计算方法与技巧【摘要】极限的概念是高等数学中最重要、最基本的概念之一,并且在高等数学当中占有十分重要的位置。许多重要的数学概念如连续、导数、定积分、无穷级数的和及广义积分等都是用极限来定义的,因此掌握好极限的计算方法与技巧是学习高等数学相当关键的一个环节。虽然极限的计算方法比较多,但都不是万能的。因此对于某个具体的极限的计算问题,我们应该要去追求最简便、快捷的计算方法。本文介绍了极限计算的一些方法与技巧并通过实例加以说明了。有关的命题和结论在文中也均有说明。【关键词】极限,计算方法,技巧 Limit calculation method and skill 【 Abstract 】 The concept of limit is the most important in higher mathematics, one of the most basic concepts, and occupies very important position in the middle of the higher mathematics. Many important mathematical concepts such as continuous, derivative, definite integral, infinite series and generalized integral and is done with the limit to define, so mastering limit calculation method and the skill is to learn higher mathematics is one of the key step. Although the calculation method of limit is more, but is not everything. So for a specific putational problems, we should go for the most simple and quick calculation method. This paper introduces some method pute the limit and skills and explained through an example. Related thesis and conclusion in this paper are stated. 【 Key words 】 Limits, calculation method, skill 目录 1 引言................................................................................................................................................. 1 2 函数极限的相关定义与定理......................................................................................................... 2 极限的相关定义.................................................................................................................. 2 极限的相关定理.................................................................................................................. 3 3 极限的几个重要性质..................................................................................................................... 4 函数极限的相关性质......................................................................