对数列{(1+1/n)n}单调有界性证法的欣赏

Enjoy the Boundedness of the Sequence Monotone Syndrome

数学分析中单调有界定理告诉我们,在实数系中,有界的单调数列必有极限.所以只要证得数列{(1+1/n)n}是单调有界的,就能说明它的极限存在.文章给出了五种不同的方法来证明它的单调有界性.每一种方法都有它自身的特点.

The mathematical analysis of monotone bounded theorem tells us that, in the real system, a monotone sequence circles have limit. So as long as attain sequence is monotone bounded, can explain its limit. In this paper, five different methods to prove its monotonic boundedness. Every method has its Own characteristics.