摘  要：在数学分析中，余元公式具有独特的地位，在很多科学领域中都有重要作用.本文利用欧拉积分及无穷级数的运算对余元公式予以证明，并给出几个运用余元公式的例子.

毕业论文关键词：余元公式，Euler积分，一致收敛，余弦函数59487

Abstract: In mathematical analysis，the formula of complement variable has a unique position,and plays an important role in many fields of science. In this paper,using the Euler integral and infinite series, we have proven the formula , and given its some applicational  examples.

Keyword:  formula of complement variable, euler integral, uniform convergence, the cosine function

目  录

1引言及其预备知识4

1.1引言…4

1.2预备知识…4

2 余元公式4

3 余元公式的证明…4

4 例题7

例1 7

例2 7

例 37

例4 9

例5 9

5 参考文献12