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Math Bite: Finding \(e\) in Pascal's Triangle

by Brothers, Harlan J.

This article originally appeared in:
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 \( \lim_{n \rightarrow \infty} r_n/r_{n-1} = e\).


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