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与其性质；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RAMBLE ABOUT THE METHODS OF MATH LIMITABSTRACTMathematical analysis of the limit has been a focus of content, and runs through the entire contentsin 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 induction, 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 the 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. Keywords:limit;derivative;Variable substitution;L’hospital’s rule;McLaughLin formula;Taylar exhibition type目 录1 前言- 3 -2 函数极限的概念与性质- 4 -2.1 函数极限的概念- 4 -2.2 函数极限的性质- 5 -3 函数极限的求解方法- 6 -3.1 利用两个准则求极限- 6 -3.2 利用极限的四则运算求极限- 7 -3.3 利用两个重要极限公式求极限- 8 -3.4 利用洛必达法则求极限- 9 -3.5 利用函数连续性求极限- 10 -3.6 通过等式变形化为已知极限- 10 -3.7 利用换元法求极限- 11 -3.23 利用自然对数法求极限- 11 -3.8 利用因式分解法求极限- 12 -3.14 利用压缩定理- 16 -4 求极限的一般流程- 18 -结论- 21 -参考文献- 22 -致- 23...
