SOLUTION: Please help me solve this problem. Use the ratio test to determine whether the series define in the following is converge or diverge. ∞ ∑ 1/k! k=1

Algebra ->  Sequences-and-series -> SOLUTION: Please help me solve this problem. Use the ratio test to determine whether the series define in the following is converge or diverge. ∞ ∑ 1/k! k=1       Log On


   

Question 589507: Please help me solve this problem.
Use the ratio test to determine whether the series define in the following is converge or diverge.
∞
∑ 1/k!
k=1
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
sum%28%281%2Fk%21%29%2Ck=1%2Cinfinity%29

 =  =  =  =  =  = 0 < 1

So the series converges.  [In fact it converges to e, but you weren't
asked to show that.]

Edwin