朱世杰恒等式（sum from k=0 to n）C_（m＋k）~m=C_（m＋n＋1）~m的三种证明及应用

Three Kinds of Proof and Application of Zhu Shi Jie Identities

利用中学学过的组合公式以及通过构造不等式、幂级数三种方法对朱世杰恒等式进行证明.同时介绍它的应用.

This paper use the combination of school studied through constructing inequality,the formula and the power series three methods for Zhu Shi-jie identities are introduced and it＇s application.