I'm not sure I like the idea that there's anything special about this. Making an arbitrary sequence that suddenly diverges isn't hard: f(k) = k^(max(0,k-5)). In

I'm not sure I like the idea that there's anything special about this. Making an arbitrary sequence that suddenly diverges isn't hard: f(k) = k^(max(0,k-5)). Involving real numbers just adds to the repertoire of hiding techniques.