利用四则运算法则求极限易错题分析

Analysis on Easily Wrong Topic of Calculating Limits by Limit Laws

利用极限的四则运算法则求极限是一种最基本的方法.把解题过程中经常出现的错误进行总结,发现常见的错误类型有3种:一是忽视极限存在这个前提,二是忽视有限项这个前提,三是忽视分母的极限不能为零这个前提.就每种错误给出了相应的例题,对错解进行分析,最后给出了正确解法.

Using the limit laws to calculate limits is the basic method. The errors in the process of problem solving are concluded. There are three kinds of common errors： ignoring the existence of the limits, ignoring the finite terms and ignoring the denominator of the limit is not zero. Furthermore, some corresponding examples are given for each type of error, the wrong and correct solutions are analyzed.