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在微积分教材一开始直接引入 epsilon-delta 语言是否有利?
写成数学语言就是, \lim_{k \rightarrow \infty}{}\sqrt{\frac{1+k^2}{2+k^2}}=1 。 在没有\epsilon-\delta语言的条件下,我们还是通过直觉,产生了极限的概念,而这种语言,是把这个过程的严谨化。这,就是几何直观与数学语言之间的联系。一旦学生明白了为什么要这样定义 ...
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