calculus
posted by sarah on .
true or false:
if the sum from n=1 to infinity of a(n) converges, and the sum from n=1 to infinity of b(n) diverges, then the series from n=1 to infinity of (a(n)*b(n)) diverges
i said this was true... is this correct?

I don't know.
What if
An = 1/x^5
and Bn = x^2
then An*Bn = 1/x^3