For which positive integers k is the following series convergent? [tex]\sum(n!)^2/(kn)![/tex] attempt: use the ratio test. let Bn = (n!)2 / (kn!) let Bn+1 = ((n+1)!)^2 / (k(n+1))! then Bn+1 / Bn = ((n+1)!)^2 / (k(n+1))! * (kn)!/(n!)^2 from manipulation I got : (n+1)2 / k(n+1) = (n+1) / k if this is right (can you check please) the how would it follow to determine K such that the following series is convergent?