An easy-to-follow demonstration, written by Adam Hrankowski, Academic Coach, published in MathAdam.
Joseph Fourier
Photo: Wikimedia Commons
The irrationality of e can be demonstrated by a surprisingly accessible piece of mathematics. This proof, developed by Joseph Fourier, is perhaps the most well-known.
We need to begin with this infinite sum expression for e:
(In my previous article, Fall In Love With e All Over Again, you can see how to derive this series.)
Source: Medium