无穷级数的求和探讨  

Probe The Sum of Unlimited Progression

作　　者：张春平[1] 

机构地区：[1]辽宁工程技术大学技术与经济学院,辽宁阜新123000

出　　处：《沈阳师范大学学报（自然科学版）》2008年第3期278-280,共3页Journal of Shenyang Normal University:Natural Science Edition

摘　　要：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.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, These methods are not simple repetition of restrain progression but provide new and more flexible ways in dealing with different forms of limitation.

关 键 词：幂级数展式 逐项微分 傅立叶级数 

分 类 号：O175[理学—数学]