数列的算术平均和几何平均极限问题的探讨
Discussion on the Limit of the Arithmetic and Geometric Mean Sequence
陈春梅 1屈娜 1张辉1
作者信息
- 1. 第二炮兵工程大学 理学院 陕西 西安 710025
- 折叠
摘要
证明了数列算术平均极限和几何平均极限的两个命题,讨论了数列算术平均极限和几何平均极限与原数列极限的关系,并通过例题分析和求解,给出了数列算术平均和几何平均极限的应用,为求解数列极限提供了简便方法和思路。
Abstract
The two propositions on the limit of the arithmetic and geometric mean sequence are proved. The relation of the limits of a sequence and its arithmetic and geometric mean sequence is discussed. In order to provide a simple method to solve the sequence limit problems,applications to analysis and solution of some examples are illustrated.
关键词
算术平均/几何平均/数列极限Key words
Arithmetic mean/Geometric mean/Sequence limit引用本文复制引用
出版年
2015