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1)  equivalence infinitesimal
等价无穷小量
1.
Getting limit with substitution of equivalence infinitesimal is a common,convenient and efficient way.
等价无穷小量替换求极限是一种常用、方便、有效的方法。
2)  equivalent infinitesimal
等价无穷小
1.
Several Notes on Equivalent Infinitesimal;
关于等价无穷小的若干注记
2.
Calculating function limit by the equivalent infinitesimal;
利用等价无穷小计算函数极限
3.
Some Special Equivalent Infinitesimal
几种特殊形式的等价无穷小代换
3)  infinitesimal equivalence
等价无穷小
1.
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
文章着重介绍了在正项级数比较审敛法的极限形式中,用等价无穷小的方法来判别正项级数的敛散性。
2.
Apart from three theorems, this paper introduces the application of equivalence class to infinitesimal equivalence analysis by means of the knowledge of abstract algebra.
利用抽象代数学中的基本知识介绍了等价类在等价无穷小分析中的应用并给出了三个定
4)  equivalence infinitesimal
等价无穷小
1.
This paper iceustrates the adoptability of how to get the limit value by the replace of equivalence infinitesimal It also makes further analysis to the principle of equivalence replac
本文举例说明用等价无穷小替换求极限的适用性 ,并对等价替换的原则作了进一步分
5)  class equivalent infinitesimal
类等价无穷小
6)  Equivalence infinitesimal replacement
等价无穷小替换
补充资料:无穷小量
无穷小量
infinitesimal
    以数零为极限的变量。确切地说,当自变量x无限接近x0(或x的绝对值无限增大)时,函数值f(x)与零无限接近,即!!!W1029_1f(x)=0(或!!!W1029_2f(x)=0),则称f(x)为当xx0(或x→∞)时的无穷小量。例如,f(x)=(x-1)2是当x→1时的无穷小量,f(n)=!!!W1029_3是当n→∞时的无穷小量,f(x)=sinx是当x→0时的无穷小量。特别要指出的是,切不可把很小的数与无穷小量混为一谈。
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