1. The problem statement, all variables and given/known data Show that if [tex]\sum[/tex]ak converges, then [tex]\sum[/tex] from k to ∞ of ak goes to zero as k goes to ∞. 2. Relevant equations 3. The attempt at a solution I'm not really sure how to go about this proof. But, this is my attempt, First I tried to show that [tex]\sum[/tex]ak is convergent. Let c be a real number and ε > 0. So there is an integer N > 0 such that if n > N then |an - c | < ε. So c is the limit of the sequence and an -> c. I don't really know where to go from there. Any help is appreciated.