| 洛必达法则及斯铎兹定理的一种简便证法 |
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| 引用本文： | 代恩华.洛必达法则及斯铎兹定理的一种简便证法[J].数学学习,2010,13(5):51-54. |
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| 作者姓名： | 代恩华 |
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| 作者单位： | 聊城大学东昌学院,山东聊城,252000 |
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| 摘 要： | 针对∞/∞型的洛必达法则、数列极限∞/∞型的斯铎兹定理以及函数极限0/0型和∞/∞型的斯铎兹定理,分别建立相应的引理,为证明这些定理提供一种新的思路.对这些定理的传统证明是一种改进和补充.
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| 关 键 词： | 未定式 洛必达法则 斯铎兹定理 引理 |
Easy Approach to L'Hospital's Rule and O.Stolz Theorem |
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| DAI En,Hua.Easy Approach to L'Hospital's Rule and O.Stolz Theorem[J].Studies In College Mathematics,2010,13(5):51-54. |
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| Authors: | DAI En Hua |
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| Institution: | (Dongchang College of Liaocheng Univercity,LiaoCheng,Shandong,252000,PRC) |
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| Abstract: | This article establishes some relative lemmas for L＇Hospital＇s Rule of the ∞/∞ form and O.Stolz Theorem for the limit of sequences of ∞/∞ form,as well as the limit of functions of 0/0 form and ∞/∞ form.Each lemma can be easily proved and the corresponding theorems can be obtained by these lemmas. |
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| Keywords: | Indeterminate form L＇Hospital＇s Rule O Stolz Theorem lemma |
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