| 关于极限的保号性与保不等式性的注记 |
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| 引用本文： | 许绍元,钟争艳.关于极限的保号性与保不等式性的注记[J].赣南师范学院学报,2011,32(3):7-9. |
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| 作者姓名： | 许绍元 钟争艳 |
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| 作者单位： | 1. 赣南师范学院数学与计算机科学学院,江西赣州,341000
2. 兴国县第三中学,江西兴国,3424001 |
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| 基金项目： | 江西省教育厅科技研究项目(GJJ08388) |
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| 摘 要： | 首先阐明了数列极限的保号性与保不等式性的等价性,然后进一步探讨了数列极限的保号性、保不等式性与函数极限的局部保号性、局部保不等式性之间的关系.这些结果是现有高等数学或数学分析教材的有益补充.
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| 关 键 词： | 极限 函数 保号性 保不等式性 |
Some Notes on the Properties of Guaranteeing Sign and Guaranteeing Inequality |
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| XU Shao-yuan,ZHONG Zheng-yan.Some Notes on the Properties of Guaranteeing Sign and Guaranteeing Inequality[J].Journal of Gannan Teachers' College(Social Science(2)),2011,32(3):7-9. |
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| Authors: | XU Shao-yuan ZHONG Zheng-yan |
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| Institution: | XU Shao-yuan1,ZHONG Zheng-yan2(1.School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China,2.The Third Middle School in Xingguo,Ganzhou 3424001,China) |
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| Abstract: | In this paper,we show the equivalence of the properties of guaranteeing sign and guaranteeing inequality for limitation of the sequence of number.Furthermore,we discuss the relationships between the properties of guaranteeing sign and guaranteeing inequality for the limit of the sequence of number and the limit of function.These results are the useful and indispensable supplements to the relating current text books for the college students on campus. |
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| Keywords: | limit function property of guaranteeing sign property of guaranteeing inequality |
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