A Sterling Look at Stirling’s Constant

Abstract

Summary In a previous article [3] appearing in this journal, existence of the finite positive limit implicit in Stirling’s approximation was proved, and in so doing this limit was connected to the Euler limit . Because it was not done in the original article, exact determination of the constant () by a novel, elementary technique is the aim of this follow-up. For both articles, the arguments are readily accessible to advanced undergraduate students with a year of university calculus in their background.