Suppose that (f) is a cubic polynomial. Prove that for (delta in mathbb{R}), [f(x+delta)=f(x)+delta f^{prime}(x)+frac{1}{2} delta^{2} f^{prime

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Suppose that $f$ is a cubic polynomial. Prove that for $\delta \in \mathbb{R}$,

\[f(x+\delta)=f(x)+\delta f^{\prime}(x)+\frac{1}{2} \delta^{2} f^{\prime \prime}(x)+\frac{1}{6} \delta^{3} f^{\prime \prime \prime}(x) .\]

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Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

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Question Posted: Mar 15, 2024 02:01 AM

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Suppose that (f) is a cubic polynomial. Prove that for (delta in mathbb{R}), [f(x+delta)=f(x)+delta f^{prime}(x)+frac{1}{2} delta^{2} f^{prime

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This can be proven using the general formula for the Taylor Series expansion of a function up to the ...View the full answer

Introduction To Statistical Limit Theory

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