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等价无穷小代换求极限的方法推广
引用本文:屈红萍,赵文燕.等价无穷小代换求极限的方法推广[J].保山师专学报,2011,30(2):54-57.
作者姓名:屈红萍  赵文燕
作者单位:保山学院数学系;
摘    要:由于教学的需要,对利用等价无穷小代换求函数极限的方法作了进一步的推广,所得主要结论,在很容易验证的条件下,将无穷小代换的方法推广到多个复合函数无穷小代数和之比及幂指函数和含变上限积分函数的情况,扩大了等价无穷小代换使用的范围。

关 键 词:等价无穷小  代换  代数和  变上限积分

Equivalent to Limit of Infinite Substitution extended
Qu Hong-ping,Zhao Wen-yan.Equivalent to Limit of Infinite Substitution extended[J].Journal of Baoshan Teachers' College,2011,30(2):54-57.
Authors:Qu Hong-ping  Zhao Wen-yan
Institution:Qu Hong-ping,Zhao Wen-yan(Math Dept.Baoshan College,Baoshan,Yunnan,678000)
Abstract:A further promotion is made to use equivalent infinitesimal to substitute limit of a function in teaching.the main conclusions obtained can be easily verified that the method of infinitesimal substitution function can be extended to more complex algebra and infinitesimal Ratio and the power function and the upper integral function with varying conditions,expanding the use of equivalent infinitesimal substitution range.
Keywords:Equivalent infinitesimal  substitution  algebra  variable limit integral  
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