1、 浅析函数极限的求法 摘要 极限是数学分析的一个重要组成部分 ， 它 以各种形式出现 且 贯穿 在 全部内容之中 , 因此，掌握好极限的求解方法是学习数学分析的关键，而 函数极限的求法可谓是多种多样 .首先本文先给出了 函数 极限的定义 及其性质； 其次 归纳和总结了 函数 极限 的 若干 求法，并举例分析 ； 最后给出了求函数极限的流程图，也就是求函数极限的思路、步骤，使初学者能较快地掌握求函数极限方法 . 关键词 ： 极限 ； 导数 ； 洛必达法则 ；泰勒 公式 - - 1 - -第 - 1 - 页 共 20 页 RAMBLE ABOUT THE METHODS OF MATH LIMIT
2、 ABSTRACT Mathematical analysis of the limit has been a focus of content, and runs through the entire contents in a variety of forms, therefore, how to grasp the solution to limit is the key to learning the mathematical analysis. The series of limit can be described as diverse, by concluded and indu
3、ction, At first, this paper gives the definition of limit, by defining the to understand what is the limit of sequence and function； secondly by induction and summarization, this paper lists some common calculation methods, and analysis all kinds of method of limit. At last,given the procedure of th
4、e solution to function limit finally, i.e. the idea of solve function limit and the step of solve function limit, to make the beginning student can grasp the method of solve function limit fast 9 . Key words: limit； derivative； Variable substitution； Lhospitals rule； McLaughLin formula； Taylar exhibition type
