1. The problem statement, all variables and given/known data Does (1/(k!)) converge? 2. Relevant equations Convergence Tests? 3. The attempt at a solution I thought I could just simply use the divergence test, but I'm not sure if that only tells you if it's divergent and not whether it is convergent or not. lim(k>inf) (1/(k!)) = 0, if L =/= 0, then it is divergent, but since it is 0 does that make it convergent, or inconclusive? I've thought about trying a comparison test but I'm not sure what I could compare 1/k! too, would I compare it to 1/k? In which case it would be divergent. Kinda stuck here on which to use.