A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers
Abstract
Euler gives a continued fraction representation of (1+x)n involving 1,3,5,7,... and n2-1,n2-4,n3-9,... 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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