利用闭区间套定理证明重要极限的存在性

Proving the Existence of the Important Limit with Closed Interval Theorem

引入两个具有严格单调性的辅助数列,构造闭区间套,利用闭区间套定理和两边夹定理对数列1+1nn极限存在性给出一种新的证明方法.

This paper introduces two strict monofonic assistant series,then constructs multinest of Closed Interval.It proves the existence of the series(1+1/n)~n Limit in a new way based on the use of multinest of Closed Interval theorem and double side approximation.