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数列的算术平均和几何平均极限问题的探讨

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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。
Discussion on the Limit of the Arithmetic and Geometric Mean Sequence
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.

Arithmetic meanGeometric meanSequence limit

陈春梅、屈娜、张辉

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第二炮兵工程大学 理学院 陕西 西安 710025

算术平均 几何平均 数列极限

2015

读写算(教育教学研究)
荆门市教科所

读写算(教育教学研究)

ISSN:1002-7661
年,卷(期):2015.(40)
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