Continued Fraction Expansion of Euler's Number/Historical Note

Historical Note on Continued Fraction Expansion of Euler's Number

Leonhard Euler analyzed the Ricatti equation to prove that the number e has the continued fraction shown here.

Later, while proving the transcendence of e, Charles Hermite also proved this continued fraction.

Sources

• 2006: Henry Cohn: A Short Proof of the Simple Continued Fraction Expansion of e (Amer. Math. Monthly Vol. 113: p. 57)  www.jstor.org/stable/27641837