Geometric visualizations of $b^{e}<e^{b}$ when $e<b$
In connection to the two fascinating constants $e$ and $π$, there are many beautiful visual proofs to the inequality $π^{e}<e^π$. The aim of this classroom capsule is to give three visual proofs to the more general inequality $b^{e}<e^{b}$ where $e<b$.
math.HO↗