CAJ | 학술논문

在级数理论中,一般来说,判断级数的敛散性是比较困难的,有时尽管能判断其收敛,但要求其和却是十分困难的。文中根据等差级数和等比级数的特点,给出了一类基于等差级数和等比级数乘积项的无穷级数的判敛与求和方法。
재급수이론중,일반래설,판단급수적렴산성시비교곤난적,유시진관능판단기수렴,단요구기화각시십분곤난적。문중근거등차급수화등비급수적특점,급출료일류기우등차급수화등비급수승적항적무궁급수적판렴여구화방법。
In series theory, generally, it is difficult to determine the convergence and divergence of se- ries. Though sometimes the convergence can be determined, it is very difficult to determine the summa- tion. Based on the characteristics of the arithmetical and geometric series, a method of summation and con- vergence is put forward, based on arithmetical series and assessment of product of the geometric series of infinite series.