证明数列{1＋1／n）^n}递增且有上界的几种方法

Several Methods to Prove the Increase by Degrees and Upper Bound of Sequence of Number

通过将数列{(1+1n)n}按二项式定理展开的方法,以及用到三个著名的不等式来分别证明该数列递增且有上界.

The paper proves the increase by degrees and,upper bound of sequence of num-ber by the means of expanding the sequence of number with binomial theorem and three well-known inequalities.