{(1+1/n)~n}收敛性的几种证法

Several proofs for convergent sequence of numbers {(1+1/n)~n}

对数列极限中的重要极限limn→∞(1+1n)n的存在性,分别用二项式展开定理、贝努利不等式、平均值不等式、构造不等式等方法,给出了不同的证明.

It uses binomial expansion theorem,bernoulli inequality,averge equality,building inequality etc.Four proofs to prove the existence of the important Limts for {(1+1n)n}.