一类数列极限的计算

Calculation of Limits for a Class of Sequences

极限计算是高等数学中的基本计算,虽然计算极限的方法有很多种,但是却不能解决所有的极限问题.在十几年的高等数学教学过程中,我们经常帮助考研的学生解决一些问题,在解决问题的过程中,我们发现有一类数列极限的计算有着共同的特点,本文中我们对这类数列极限的计算方法进行了总结,并给出定理及证明.

Calculation of limit is a basic skill in Higher Mathematics. Although there are many methods, they cannot solve all the limit problems. Based on the experience of more than ten years in teaching Higher Mathematics, we summarize, in terms of a theorem and its proof, a limit calculation method for a kind of sequences with common characteristics.