- #1

hth

- 26

- 0

## Homework Statement

Show that if [tex]\sum[/tex]a

_{k}converges, then [tex]\sum[/tex] from k to ∞ of a

_{k}goes to zero as k goes to ∞.

## Homework Equations

## 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]a

_{k}is convergent.

Let c be a real number and ε > 0. So there is an integer N > 0 such that if n > N then |a

_{n}- c | < ε.

So c is the limit of the sequence and a

_{n}-> c.

I don't really know where to go from there. Any help is appreciated.