# Math Bite: Finding $e$ in Pascal's Triangle

by Brothers, Harlan J.

Mathematics Magazine
February, 2012

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 4.3 Number Theory

If $s_n$ is the product of the entries in the $n$th row of Pascal's Triangle and $r_n = s_n/s_{n-1}$, then a proof is given of the fact that $\lim_{n \rightarrow \infty} r_n/r_{n-1} = e$.