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等价无穷小代换定理的拓展
引用本文:祝微,杨春艳. 等价无穷小代换定理的拓展[J]. 长春师范学院学报, 2010, 0(2)
作者姓名:祝微  杨春艳
作者单位:齐齐哈尔高等师范专科学校;
摘    要:
利用等价无穷小代换求极限可以简化计算,基于此,本文主要探讨了极限式中含加减因子及幂指结构时用等价无穷小代换求极限的问题,对教材中未提及的极限式中含加减关系、复合结构及幂指结构的情况加以补充,并给出了相应代换的条件和应用实例。

关 键 词:等价无穷小代换  求极限  

On the Generalization of Equivalence Infinitesimal Replacement Theorem
ZHU Wei,YANG Chun-yan. On the Generalization of Equivalence Infinitesimal Replacement Theorem[J]. Journal of Changchun Teachers College, 2010, 0(2)
Authors:ZHU Wei  YANG Chun-yan
Affiliation:Qiqihar Teachers College;Qiqihar 161005;China
Abstract:
The calculation for finding limits can be simplified with equivalence infinitesimal replacement theorem.This paper mainly discusses how to use the equivalence infinitesimal replacement theorem find limits for the limiting equations with plus-minus factor,complex structure and power exponent structure;at the same time,the ones which have not mentioned in teaching materials are put forward,and some relevant replacement conditions and application examples are given.
Keywords:equivalence infinitesimal replacement  find limits  
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