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Maclaurin and Taylor seriesFor a (real) function f under certain conditions (Taylor's Theorem) One obtains a Maclaurin series when a = 0. However, introducing g(x) = f(x+a) one gets f(n) (a) = g(n)(0), and so the Maclaurin series for g coincides with the Taylor series of f at x = a.
Copyright © 1996-2008 Alexander Bogomolny |
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