重要极限lim from (x→0) ((1+x)^(1/x))=e的推广及应用

Application and Dissemination of the Important lim from (x→0) ((1+x)^(1/x))=e

本文对重要极限lim from (x→0) ((1+x)^(1/x))=e进行推广论证,然后将推广式运用到求解极限未定式“1”这类难度较大的题型中去,通过比较,推广式给出的计算方法简便易行,从而解决了教学中的一大难点,具有较好的实用性。

This paper mainly spreads and demonstrates the important formula limx→0（ 1 ＋ x）^1/x = e, and then the spread formula is used in saluting limit of the uncertain ＂100＂ ,which is very difficult. It resolves one of the main difficult point in teaching. The way that concluded is easier and coutains good practical function, through comparing and expounding.