In article <email@example.com>, <firstname.lastname@example.org> wrote: >How close gets >sum(eulerphi(n)/n!,n=1...infinity) >to >5*sqrt(Pi)/3 -1
For the sum of 20 terms Maple gives 84894610559376853 / 43444678717440000. The difference from 5*sqrt(Pi)/3 -1 is approximately 0.000004393633187. Repeating with 10,000 terms results in the same difference. So I guess that answers your question.