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(adsbygoogle = window.adsbygoogle || []).push({}); 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.)

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

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Two divergent series whose minimum converges?

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