关于数项级数求和的几种特殊方法

SEVERAL SPECIAL METHODS ABOUT THE SUM OF THE CONSTANT SERIES

利用对级数∑n=0an的部分和数列{Sn}进行各种变形处理,从而通过对求出nli→∞mSn=S,得到结论∑+∞,采用的做法有三角级数法、方程式法、子数列法,以及幂级数法。

Once we could prove the equation lim n→∞Sn = S from dealing with the partialness sum {Sn} of the series ∑^＋∞ n=0 , the question will be solved. The material measures include： the method of equation subject sequence , trigonometry and power series.