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Jun 22, 2014 at 4:09 comment added Sridhar Ramesh Ah, nice. Here's a followup question I'm also interested in, which you will perhaps resolve with just as much ease: Suppose now we consider an increasing series of subsets $A_0 \subseteq A_1 \subseteq A_2 \subseteq ...$ of the integers, where each of these is not merely periodic but in fact of the form "Any multiple of a member of F", for some finite set F. Can the density of their union still fail to match the supremum of their individual densities?
Jun 22, 2014 at 4:00 vote accept Sridhar Ramesh
Jun 22, 2014 at 3:58 history answered Joseph Van Name CC BY-SA 3.0