If ∑ UN converges, does ∑ u2n converge? Conversely, does ∑ u2n converge and ∑ UN converge?
They don't converge
(1)un=(-1)^n/n
Σ UN converges and Σ u2n diverges
(2) Take all odd items as 1,
Σ u2n converges and Σ UN diverges
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