calculus

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?

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

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