单调有界数列一定收敛的新证法

A New Method to Prove the convergence of Monotone Bounded Series of Nambers

单调有界数列一定有极限 ,采用对区间进行平分再平分 (用二进制表示 )的方法巧妙地给出了有效的证明。用这种方法也可以来证明其它的几个基本定理。

The monotone bounded series of numbers must have limit.The author gives us a new method to prove it effectively,which can also be used to prove the other basic principles.