数列极限问题中夹逼准则的思想探究

Exploring for the Idea of Squeezing Rule about the Limit of Sequence

通过对数列极限的夹逼准则的分析,以定理与推论的形式指出了夹逼准则解决相关数列极限的思想方法与基本原理,并通过实例说明.然后进一步通过定理与实例,说明借助于这一思想对于特殊和式极限计算时的巧妙之处.

In the paper, we analyze the squeezing rule for the limit of sequence. We point out the idea and basic principle of the squeezing rule for calculating the limit by the theorem and some corollaries, and illustrate it by somexamples. Furthermore we point out that it is wise for calculating the limit of special sum by meams of the idea in theorem and examples.