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This document discusses connections between Padé approximants for the exponential series and simple continued fractions for e. It establishes these connections by deriving alternative proofs of continued fraction expansions for e, e2, e1/M, and e2/M where M is a natural number greater than 1. The document outlines algorithms for transforming power series into Padé tables and continued fractions, and uses relations between adjacent Padé approximants to derive the continued fraction for the exponential functi

Author

ab c

Language

EN