Abstract
Suppose that f is a function â ââ, such that (1) f is differentiable, with fⲠ= f, (2) f(0) = 1, and (3) there is a series \(\sum\limits_{i\; = \,0}^\infty {{a_i}{x^i}}\) which converges to f. Then for each i we have ai = 1/i!.
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Š 1982 Springer-Verlag New York, Inc.
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Moise, E.E. (1982). Power Series for Elementary Functions. In: Introductory Problem Courses in Analysis and Topology. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8183-9_13
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DOI: https://doi.org/10.1007/978-1-4613-8183-9_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90701-7
Online ISBN: 978-1-4613-8183-9
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