| 用极坐标变换求二重极限的定理及推广 |
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| 引用本文： | 徐家斌,李莉.用极坐标变换求二重极限的定理及推广[J].内江师范学院学报,2008,23(10). |
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| 作者姓名： | 徐家斌 李莉 |
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| 作者单位： | 1. 内江师范学院数学与信息科学学院,四川,内江,641112;西南大学教育学院,重庆,400715
2. 内江师范学院数学与信息科学学院,四川,内江,641112 |
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| 摘 要： | 运用上、下确界和极坐标变换，化二元函数的重极限的判断和求解为一元函数极限的判断和求解，得到了用极坐标变换求解二重极限的一个定理和一些推论，并推广到用n维球坐标变换求n重极限．
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| 关 键 词： | 极坐标变换 重极限 上确界 下确界 n维球坐标 |
A Theorem for Determining Double Limit with Transformation of Polar Coordinates and Its Popularization |
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| XU Jia-bin,LI Li.A Theorem for Determining Double Limit with Transformation of Polar Coordinates and Its Popularization[J].Journal of Neijiang Teachers College,2008,23(10). |
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| Authors: | XU Jia-bin LI Li |
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| Institution: | XU Jia-bin~ |
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| Abstract: | The method of judging and requesting double limit of a binary function is translated in to the method of judging and requesting the limit of one-variable function by supremum and infimum and transformation of n-dimensional spherical coordi- nates.First,a theorem of requesting double limit with transformation of polar coordinates and some deductions are presented.Fi- nally,a theorem of requesting multiple limits with transformation of n-dimensional spherical coordinates is generalized. |
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| Keywords: | transformation of polar coordinates multiple limits supremum infimum n-dimensional spherical coordinates |
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