求无穷项和数列极限方法的探讨

Discussion on the Method of Finding the Sequence Limit of Infinity Term Sum

极限理论是数学分析的基础,而求无穷项和数列极限又是数列极限的一个难点,本文主要讨论公式法、夹逼准则、定积分法与和函数法等来求无穷项和数列极限,并通过相应的例子讨论这些方法的应用。

Limit theory is the basis of mathematical analysis,and finding the sequence limit of infinite term sum is a difficult problem.This paper mainly discusses the formula method,the Sandwich Theorem,the definite integration method and the sum function method to find the sequence limit of infinite term sum.The application of these methods is discussed by corresponding examples.