An Elementary Proof of Stirling's Formula
Combinatorics
2023-10-10 v1
Abstract
Stirling's formula is a powerful asymptotic approximation of the factorial function. Many well-known proofs of this formula are grounded in integral calculus. In this paper, we present an alternative proof of Stirling's formula using only limits and the Wallis product.
Cite
@article{arxiv.2310.04872,
title = {An Elementary Proof of Stirling's Formula},
author = {Jakub Smolík},
journal= {arXiv preprint arXiv:2310.04872},
year = {2023}
}
Comments
3 pages