term-by-term integration

In this paper, the theorems of term-by-term integration have been studied further.

本文进一步研究了函数项级数的逐项积分定理。

This article presents several methods in calculating the unlimited progression,such as,extention of power progression,sequential differential and sequential differential,Fourier progression and Euler constant.

介绍了裂项相消法、利用已知的幂级数展式法、逐项微分与逐项积分法、傅立叶级数求和法和欧拉常数法这几种无穷级数的求和方法,这些方法为计算收敛数列极限提供了新的工具,使处理不同形式的极限具有更大的灵活性。

In this article, the relation between covergence region of power series and the new covergence region of power series resulted from termuise integration and termwise differentiation is briefly discussed.

本文主要讨论了幂级数的收敛域与将幂级数逐项积分、逐项微分后所得的新的幂级数的收敛域之间的关系。