"I'm pretty tired right now,..."


by Kevin Clancy Jun 14 2016 updated Jun 14 2016

I'm pretty tired right now, but this definition seems kind of circular to me. It involves an infinite sum, and infinite sums are defined in terms of limits. But a limit of rational numbers is defined in terms of the set of real numbers. Maybe it would be better to present the definition of real numbers that one would find in a real analysis text.