From $e$ to $\pi$: Derivation of the Wallis formula for $\pi$ from $e$

TL;DR

This paper presents an elementary derivation of the Wallis formula for pi starting from the fundamental representation of e, providing a simple proof that connects these two important mathematical constants.

Contribution

It offers a novel, elementary proof of the Wallis formula for pi derived directly from the basic properties of e, bridging two fundamental constants.

Findings

Elementary proof of Wallis formula from e

Connection established between e and pi

Simplified derivation accessible to learners

Abstract

In this Note, we start off with the primary representation of e and from there present an elementary short proof for the Wallis formula for $\pi$.