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    Proof in Numerical Analysis: Taylor's Theorem

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    Suppose that y(x)' : f(x,y(x)) on the interval [x0, x1] with y (x0) = y0. Assume that a unique solution y exists such that it and all of its derivatives up to and including the third order are defined and continuous on [x0, x1]. Using Taylor's Theorem (and the Mean Value Theorem, if necessary) prove that...

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    https://brainmass.com/math/numerical-analysis/proof-numerical-analysis-taylor-theorem-457369

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    The solution provides proof in number in numerical analysis.

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