- #1
happyg1
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Hi, We're debating the question "Can a series of nonnegative numbers converge conditionally?"
I say no becuase if all of the terms are nonnegative then they are the same as their absolute values. My classmate disagrees and says that there is a series that has nonegative terms whose absolute value diverges. I'm really confused. He won't tell us what this divergent series is and I can't come up with a counterexample of my own. I keep staring at the definition of absolute convergence and getting more confused.
help me please.
CC
I say no becuase if all of the terms are nonnegative then they are the same as their absolute values. My classmate disagrees and says that there is a series that has nonegative terms whose absolute value diverges. I'm really confused. He won't tell us what this divergent series is and I can't come up with a counterexample of my own. I keep staring at the definition of absolute convergence and getting more confused.
help me please.
CC