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I've been trying to figure this question out:

Find examples of two positive and decreasing series, [tex]\sum a_n[/tex] and [tex]\sum b_n [/tex], both of which diverge, but for which [tex]\sum min(a_n,b_n)[/tex] converges.

It doesn't make any sense to me that any positive and decreasing divergent series can be combined with another to produce a convergent series. Thanks in advance.

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# Infinite Series (2 diverge -> 1 converge)

**Physics Forums | Science Articles, Homework Help, Discussion**