数列极限体现了以有限思想认识无限的数学思想方法,对提高辩证的逻辑思维具有特殊的意义.深刻理解数列极限的定义,正确应用数列极限的四则运算法则,有助于提高同学们的思维能力和转化能力.在实际的学习过程中,由于一些同学对数列极限的定义、运算法则缺乏深刻的、全面的认识,因而经常会犯错误. The limit of the series reflects the infinite mathematics thinking method with limited thinking, which is of special significance to improving the dialectical logical thinking. The profound understanding of the definition of the limit of the series and the correct application of the four rules of the limit of the series are helpful to improve the students’ thinking ability. In the actual learning process, some students often make mistakes because of the lack of profound and comprehensive understanding of the definition and algorithm of the sequence limit.