E750 -- Commentatio in fractionem continuam, qua illustris La Grange potestates binomiales expressit

(A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers)


Euler gives a continued fraction representation of (1 + x)n. involving 1,3,5,7,... and n^2-1,n^2-4,n^3-9,... and squares of z, for x=2y and y=z/(1-z). He evaluates this continued fraction at z=t sqrt(-1), for ``vanishing'' n, and for infinite n.

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