If f(x) is a Function in g(x), what are the Coefficients of that Function? A New Expansion for Analytic Function in Standard Form


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Abstract


In this article we study Taylor, Maclaurin, Lagrange, and others about power series. Taylor and Maclaurin's expansion is a special case of Mansour's expansion. It is an intriguing generalization of the work of Taylor, Maclaurin, and others about power series. We prove that Taylor and Maclaurin's expansion is a special case of the new expansion.
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Keywords


Numerical Analysis; Calculus

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References


James Stewart Calculus six edition 2008: CENGAGE Learning.

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