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Consider the following function. F(x)=²²a=0₁ n=3, 05x50.1 (a) Approximate f by a Taylor polynomial with degreen at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) 7 (x) when x lies in the given interval. (Round your answer to five decimal places.) IR₂(x)| s

Consider the following function. F(x)=²²a=0₁ n=3, 05x50.1 (a) Approximate f by a Taylor polynomial with degreen at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) 7 (x) when x lies in the given interval. (Round your answer to five decimal places.) IR₂(x)| s

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following function. f(x)=²x², a = 0, n=3, 0 ≤x≤0.1 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to five decimal places.) IR₂(x)| ≤[
Transcribed Image Text:Consider the following function. f(x)=²x², a = 0, n=3, 0 ≤x≤0.1 (a) Approximate f by a Taylor polynomial with degreen at the number a. T₂(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to five decimal places.) IR₂(x)| ≤[
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