【摘要】 介绍定积分在判断正项级数敛散性时的一种特殊应用技巧,利用定积分公式对形如sum from n=k to∞[(2n-m)!!/(2n)!!]~p(2k-m>0,m∈Z,p,n,k∈Z~+)这一类型正项级数的敛散性进行了讨论,得出了相关结论.更多还原

【Abstract】 This paper introduces the application of definite integral in the judgment of the convergence of a positive series.We made judgment on the convergence of positive series like sum from n=k to ∞[(2n-m)!!/(2n)!!]~p(2k-m>0,m∈Z,p,n,k∈Z~+)through definite integral formulas.更多还原