1) sequence limit
数列极限
1.
It is well known,the limit discusses including the sequence limit,the limit of function two kinds.
众所周知,极限论包括数列极限、函数极限两类。
2.
The calculation of sequence limit which has a wide application is the main constituent of the limit theory.
数列极限的计算是极限理论的重要组成部分,有着广泛的应用。
3.
It is well known, the limit discusses including the sequence limit, the limit of function two kinds.
本文针对高等数学中数列极限的初等变形求极限、利用变量替换、两边夹定理、归结原则、定积分法、单调原理、级数展开式、Stolz公式等来讲述数列极限的几种求法。
2) limit of a sequence
数列极限
1.
"Arbitrariness" property ε and"infinitary"property of Nare key points to understand the definitionof limit of a sequence.
ε的"任意性"和N的"无穷性"是理解数列极限ε—N定义的关键所在,从两个诡辩问题实例出发阐述了ε—N定义中ε的"任意性"和N的"无穷性"。
2.
First, this arcdcle analyzes the abstract administrative levels of the limit of a sequence concept, then brings forward the presence of the kernel concept and checks up the idea by the education experiment to reveal the internal structure of this concept.
首先运用抽象度分析法定量地对数列极限概念的抽象层次进行分析,然后提出核心抽象概念存在,并运用教育实验检验猜想, 试图揭示概念丰富的内涵。
3) limit of sequence
数列极限
1.
The equivalent definition and function of the definition of the limit of sequence;
数列极限定义的等价定义及其作用
4) limit of sequences
数列极限
1.
With the principle of summing up, the problem about the limit of functions converted into the limit of sequences is discussed in the paper, the properties and the existence of the limit of functions are proved, so that the relation between the limit of sequences and the limit of functions is described more clearly.
本文用归结原则将函数极限问题转化为数列极限问题去讨论,证明了函数极限性质与极限存在的判定定理,进而更清晰的刻画了函数极限与数列极根之间的关系。
5) number sequence limit
数列极限
1.
In this article, the use of mean value imquality in number sequence limit is briefly indicated bysome examples, thus a new method of proving number sequence limit is acquired.
本文主要通过一些例子来说明平均值不等式在数列极限中的应用,从而给出了证明数列极限的一个新方法。
补充资料:数列的极限
判断一个数列是否收敛的依据。设{xn}是一个无穷数列,a是常数。如果对于任意给定的ε>0,总存在一个正整数n,使得当n>n时都有|xn-a|<ε成立,就称a为数列{xn}的极限,或称数列{xn}收敛于a。记作limn→∞xn=a,或xn→a(n→∞)。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条