摘要
仅用几何级数的和就给出p-级数敛散性一非常初等和更直接的证明,且用文中的放缩技巧给出了某些级数敛散性的判定或求和的应用实例.
An elementary yet more direct proof of the convergence - divergence of p - series by using only the sum of a geometric series is given. Moreover, a telescoping method is used to determine the convergence - divergence of some other series or to find their sums.
出处
《绍兴文理学院学报》
2011年第7期1-3,共3页
Journal of Shaoxing University
基金
绍兴市高等教育教学改革资助项目(2009SXJG05)
国家自然科学基金资助项目(10971194)
关键词
P-级数
敛散性
几何级数
初等证明
p - series
convergence - divergence
geometric series
elementary proof
