英语翻译极限是一种极为重要的数学方法,是连接具体的有限和抽象的无限的唯一桥梁.极限作为高等数学中的最基本知识,是学习其它

英语翻译
极限是一种极为重要的数学方法,是连接具体的有限和抽象的无限的唯一桥梁.极限作为高等数学中的最基本知识,是学习其它知识的基础,是解决其它问题的前提.高等数学中的许多概念,譬如可导、可微和可积等,都是通过极限来定义的.可以说,高等数学的很多知识点,是以极限为线索,而串联起来的.
同时,极限也是数学作用于其它学科的重要工具.譬如物理中有名的“位移——速度——加速度”的问题,就依靠极限来解决的.综上所述,便可以知道,掌握极限对于学习高等数学有多么重要.
求函数的极限,是极限领域内的重要组成部分.可以说,极限的大部分应用都是求函数极限.这是对函数这一重要模型加深理解的捷径.求极限的方法灵活多变,技术性强,涉及知识广泛.对求极限方法的归纳、总结,有利于深刻理解极限的概念,并对将来的数学学习有长远的帮助.因此,开展这一方面的研究将大有可为.

极限是一种极为重要的数学方法,是连接具体的有限和抽象的无限的唯一桥梁.极限作为高等数学中的最基本知识,是学习其它知识的基础,是解决其它问题的前提.高等数学中的许多概念,譬如可导、可微和可积等,都是通过极限来定义的.可以说,高等数学的很多知识点,是以极限为线索,而串联起来的.
Limit is a very important mathematical method; it is the only bridge that connects the specific finite and the abstract infinite. As the most basic knowledge of Advanced Mathematics, Limit is the foundation of learning other knowledge; it is the prerequisite for solving other problems. The definitions of many concepts in Advanced Mathematics such as derivable, differentiable and integrable are arrived at through Limit. In a matter of speaking, a lot of knowledge points in Advanced Mathematics are serial connected by the use of Limit as a clue.
同时,极限也是数学作用于其它学科的重要工具.譬如物理中有名的“位移——速度——加速度”的问题,就依靠极限来解决的.综上所述,便可以知道,掌握极限对于学习高等数学有多么重要.
At the same time, Limit is also an important tool for Mathematics to act on other subject disciplines. For example, Physics' famous problem of ‘displacement, velocity, acceleration’ was solved by the application of Limit. From what has been mentioned above, one can tell the great importance of mastering Limit in the study of Advanced Mathematics.
求函数的极限,是极限领域内的重要组成部分.可以说,极限的大部分应用都是求函数极限.这是对函数这一重要模型加深理解的捷径.求极限的方法灵活多变,技术性强,涉及知识广泛.对求极限方法的归纳、总结,有利于深刻理解极限的概念,并对将来的数学学习有长远的帮助.因此,开展这一方面的研究将大有可为.
The calculation of function limit is an integral part in the field of Limit. It is observed that the major application of Limit is for the calculation of function limit; this is a short cut to the deeper understanding of function as an important model. The methods of finding Limit are flexible and diversified, highly technical and extensive knowledge is involved; and the generalization and summarization of these methods will be beneficial to the in-depth understanding of the Limit concept, as well as to the study of Mathematics in future. Therefore, conducting research in this aspect should have a very bright prospect.
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