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关于等价无穷小替换的一个注记
A Note on Equivalent Infinitesimals Replacement
【摘要】 利用等价无穷小替换可以简化很多求极限的题目,但是在现在的教材中对此方法并没有进行全面地讨论。基于此,本文从加减乘除各方面探讨等价无穷小替换,并给出不能替换时的处理方法。
【Abstract】 Equivalent infinitesimal replacement can simplify a lot of problems concerning evaluating the limit. However, there hasn’t been full discussion on this solution in current textbooks yet. As a result, equivalent infinitesimal replacement was discussed from aspects of adding, subtracting, multiplying and dividing and the solutions to unavailable replacement was given.
【关键词】 等价无穷小;
替换;
加;
减;
乘;
除;
泰勒公式;
【Key words】 equivalent infinitesimal; replacement; add; subtract; multiply; divide; Taylor Formula;
【Key words】 equivalent infinitesimal; replacement; add; subtract; multiply; divide; Taylor Formula;
- 【文献出处】 芜湖职业技术学院学报 ,Journal of Wuhu Institute of Technology , 编辑部邮箱 ,2015年04期
- 【分类号】O171
- 【被引频次】2
- 【下载频次】117