| 关于无穷小的等价替换及其推广 |
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| 引用本文： | 吴汉华.关于无穷小的等价替换及其推广[J].闽西职业技术学院学报,2005,7(2):118-119. |
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| 作者姓名： | 吴汉华 |
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| 作者单位： | 闽西职业技术学院,电气工程系,福建,龙岩,364021 |
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| 摘 要： | 理解无穷小的有关概念,会用无穷小的等价替换求极限,这是《高等数学》的教学要求,学生能更好地运用等价替换原理,并把原理推广到无穷小的和与差的等价替换,再由等价无穷小的概念推导出一类工程上常用的近似计算公式。
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| 关 键 词： | 无穷小 等价替换 极限 近似计算 |
| 文章编号： | 1008-4797(2005)02-0118-02 |
| 修稿时间： | 2004年11月29 |
On equivalent transformations of infinitesimals and their popularization |
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| WU Han-hua.On equivalent transformations of infinitesimals and their popularization[J].Journal of Minxi Vocational and Technival College,2005,7(2):118-119. |
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| Authors: | WU Han-hua |
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| Abstract: | One of main goals in calculus courses is to unders ta nd infinitesimals and be able to find limits by using equivalent transformations of infinitesimals.This paper aims to help students better apply the law of the equivalent transformations,and extend the law to the equivalent transformations of sums and differences of infinitesimals,therefore establish a kind of approxim ation formulas often used in engineering by the concept of equivalent infinitesi mals. |
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| Keywords: | infinitesimal equivalent transformation limit approximate calcula tion |
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