# Series Absolute Convergence Proof

## Homework Statement

If $$\sum$$an2 and $$\sum$$bn2 converge show that $$\sum$$anbn is absolutely convergent

## The Attempt at a Solution

I think I should do something with the statement 2ab$$\leq$$ a^2 + b^2

Dick
Homework Helper
Yes, you should. Better yet, use 2|ab|<a^2+b^2. Can you prove that?

Hey sorry to return to this late but I am still pretty stuck on this. Dick, I don't think I know how to prove that

Dick