极限理论在数学分析中的地位与作用及求极限的方法

极限的思想是近代数学的一种重要思想,数学分析就是以极限概念为基础、极限理论(包括级数)为主要工具来研究函数的一门学科。所谓极限的思想,是指用极限概念分析问题和解决问题的一种数学思想。用极限思想解决问题的一般步骤可概括为:对于被考察的未知量,先设法构思一个与它有关的变量,确认这变量通过无限过程的结果就是所求的未知量;最后用极限计算来得到这结果。

Role and Function of Limit in Mathematical Analysis and Ways of Limiting

As an important idea of modern mathematics,mathematical analysis is a subject that is based on the concept of limit and use limit theory(including the series) as the main tool to study the function.The so-called limits refers to a mathematical idea using the concept of limit analysis to analysis and solve problems.the general steps tosolve problems by limiting can be summarized as follows: For an unknown quantity to be assessed,first try to thing of a variable associated with it,confirm the result of a vari...