摘要
从发散的调和级数∑∞n=11n分母n中去掉含有0到9的任意d个(1≤d≤9)数字的项后,剩余项组成的新级数收敛.从每个d的众多新级数中求出最大级数,并提出寻找符合条件的自然数n的方法、最后应用计算机计算出其和的上界.
Removing terms whose denominator is contasn dgns from 0 to 9 altogether (1≤d≤9) digis arburanly from the divergent harmon series ∑∞n=11n,the series with its remamed1erms will be convergent. In this paper,the maxumal series is oblained from numerous new serresof every d. The method is presented for seeking natural number n which is meet conditon andupper bound of corresponding sum is calculated by using computer at last.
作者
蔡新
Cai Xin(Finance and Economics CollegeJimei University,Jimei 361021)
