| 高等数学中几类常见问题解析 |
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| 引用本文： | 关文吉.高等数学中几类常见问题解析[J].渭南师范学院学报,2012(6):22-23,32. |
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| 作者姓名： | 关文吉 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 基金项目： | 基金项目:渭南师范学院科研计划项目 |
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| 摘 要： | 高等数学是大学数学类课程中的一门基础课程,在各个领域及学科中发挥着重要的作用.文章针对教学当中遇到的几类常见问题,提出了改进意见;给出了一类特殊代数和下的等价无穷小代换的方法;探讨了罗比达法则的适用范围以及柯西中值定理的证明.
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| 关 键 词： | 等价无穷小代换 罗比达法则 柯西中值定理 |
Analysis on Some Frequent Question in Advanced Mathematics |
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| GUAN Wen-ji.Analysis on Some Frequent Question in Advanced Mathematics[J].Journal of Weinan Teachers College,2012(6):22-23,32. |
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| Authors: | GUAN Wen-ji |
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| Institution: | GUAN Wen-ji(School of Mathematics and Information Science,Weinan Normal University,Weinan 714000,China) |
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| Abstract: | As a fundamental course in college curriculum,Advanced Mathematics has played an increasingly important role in many fields and subjects.While learning,some students are inclined to make mistakes because of incomplete understanding of the theorem and the definition.The paper analyzes some frequent questions,and puts forward the views of reform;it popularizes the usage of equivalent infinitesimal in integral and sum and explores the proof Cauchy mean value theorem and area of application of L’Hospital rule. |
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| Keywords: | equivalent infinitesimal Cauchy mean value theorem L' Hospital rule |
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