A Visual Proof that $\pi^e < e^\pi$

TL;DR

This paper presents a visual proof demonstrating that the mathematical constant pi raised to the power e is less than e raised to the power pi, providing an intuitive understanding of this inequality.

Contribution

It offers a novel visual proof of the inequality ^e < e^, enhancing comprehension through graphical illustration.

Findings

Visual proof confirms ^e < e^ with intuitive clarity.

Supports understanding of exponential inequalities visually.

Provides an alternative approach to traditional algebraic proofs.

Abstract

In this article, we give another visual proof of $\pi^e < e^\pi$.