关于重要极限lim from (n→∞)(1+1/n)~n=e教学的思考

Thinking on the teaching of the important limit from (n→∞)(1+1/n)~n=e

对于n→∞^lim(1+1/n)^n=e，文章提出了与许多教材上不同的另外三种证明数列{(1+1/n)^n}单调有界的方法，并对n→∞^lim(1+1/n)^n=e进行了推广。

Of (1+)n=e, this paper puts forward three other ways which are different from many other textbooks to verity the monotone and boundedness of the sequence and it also extends (1+)n=e.