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两个重要极限及其应用探讨

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两个重要极限是微积分学中的基础概念,它们在数学及其他学科领域有着广泛的应用.首先,探讨第一个重要极限的意义,利用夹逼定理给出第一个重要极限的证明方法.其次,探讨第二个重要极限的价值,主要利用单调有界数列必有极限和夹逼定理给出第二个重要极限的证明方法;探讨主要变式并给出证明;探讨主要变式之间的共同特征.最后,探讨两个重要极限在3个方面的应用.
Exploration of Two Important Limits and Their Applications
Two important limits are the basic concepts in Calculus,and they are widely used in mathematical analy-sis and practical applications.Firstly,the significance of the first important limit is discussed,and the proof method of the first important limit is given by using the squeeze theorem.Secondly,the value of the second important limit is discussed,the proof method of the second important limit is given by using the monotone bounded sequence bound limit and the squeeze theorem,the main variants are discussed and proved,and the common characteristics of the main variants are discuss.Finally,the application of the two important limits in three aspects is explored.

The first important limitThe second important limit0/0 undefined1∞ undefined

陈燕

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闽江师范高等专科学校 福建 福州 350108

第一个重要极限 第二个重要极限 0/0未定型 1∞未定型

2024

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影响因子:0.51
ISSN:1672-3791
年,卷(期):2024.22(23)