极限求解在考研数学中的应用摘要 极限作为高等数学的一个重要内容，自然成为考研数学的必要考点.因此，对于考研科目中有考研数学的学生而言，极限的求解问题成为复习的一个重点内容.本文主要以考研数学中的真题为例，从数列极限和函数极限两方面，分别介绍考研数学中经常出现的求解极限的九种方法，分析各种方法的适用范围，归纳总结出解决极限问题的注意点.通过统计出近十年来，极限各类题型在考研中出现的次数以及考研重点考察的题型，比较结果发现极限问题在考研中的所占比例较大，不仅会直接考察极限的求解问题，还会利用极限与函数的分析性质之间的关系间接考察了极限的计算 ，因此掌握好常见的计算极限的方法对于解决极限问题极为重要.最后根据分析结果，为考研学生高效复习极限问题提供一些建议. 关键词 考研数学 极限 复习建议Application of limit solution in mathematics for postgraduate entrance examinationAbstract As an important content of higher mathematics, limit naturally becomes the necessary examination point of postgraduate mathematics. Therefore, for the students who have mathematics in the postgraduate entrance examination, the problem of limit solution becomes a key content of review. This paper mainly takes the real problems in the postgraduate entrance examination mathematics as an example. From the two aspects of the limit of sequence and the limit of function, it introduces nine methods of solving the limit that often appear in the postgraduate entrance examination mathematics, analyzes the applicable scope of various methods, and sums up the points for attention in solving the limit problem. Through the statistics of the number of times of limit questions in the past ten years and the types of questions that are mainly investigated in the postgraduate entrance examination, the comparison results show that the limit question accounts for a large proportion in the postgraduate entrance examination, which not only directly investig...
