We all know the rules for comparison test with 0 <= asubk <= bsubk. Then
I. If my series of a's diverges then so does my series of b's.
II. if my series of b's converges then so does my series of a's.
However, I want to know what these two rules would look like if
asubk <= bsubk <= 0. I know the test still works.
I'm using this for a proof in analysis. I thought of the hard part to modify traditional comparison test, but now can't complete it because my brain is exploiding.