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极限理论构成了数学分析的基础,在数学分析中成为研究函数的重要工具,并提供了主要的研究方法。所以,学生对极限理论的全部原理,应达到完全了解、系统掌握,否则,在以后数学分析的学习中,会引出一系列困难。学生学好极限理论的关键在于真正理解和掌握极限的定义,而极限的“ε-N”“ε-δ”精确定义的教学是解决这一关键问题的突破口,下面以特殊函数——数列的极限为例,浅析其教学方法。
Limit theory constitutes the basis of mathematical analysis, which becomes an important tool of research function in mathematical analysis and provides the main research methods. Therefore, the students of the ultimate principle of the whole principle should be fully understood and systematically mastered, otherwise, in the future mathematical analysis of learning, will lead to a series of difficulties. The key to learning the ultimate theory of students lies in the fact that the definition of the limit is really understood and the definition of “ε-N ” and “ε-δ” is the breakthrough of this critical problem. The following special features - - the limit of the sequence as an example, analyze its teaching methods.