Abstract
In the study of infinite series, the functions 1,x,x2,…,xn,… play a central role. Most of the elementary functions of algebra, trigonometry,and calculus may be expanded in series which are sums of powers of x, that is, in power series. The coefficients in such a Taylor or Maclaurin series are the successive derivatives of the given function evaluated at a point.
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© 1985 Springer Science+Business Media New York
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Protter, M.H., Morrey, C.B. (1985). Fourier Series. In: Intermediate Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1086-3_6
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DOI: https://doi.org/10.1007/978-1-4612-1086-3_6
Publisher Name: Springer, New York, NY
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