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I am struggling to find two divergent series, [tex]\Sigma[/tex]an and [tex]\Sigma[/tex]bn, such that the series of minimum terms, [tex]\Sigma[/tex]min{an,bn}, actually

A further stipulation is that both an and bn must be positive, decreasing sequences. (Otherwise the problem is trivial, as one could simply alternate 1/n and 1/n^2 to achieve the desired result.)

**converges.**A further stipulation is that both an and bn must be positive, decreasing sequences. (Otherwise the problem is trivial, as one could simply alternate 1/n and 1/n^2 to achieve the desired result.)

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