Consider the following function. f(x) = x, a = 1, n = 2, 0.8 < x s 1.2 (a) Approximate f by a Taylor polynomial with degreen at the number a. T2(x) = 1– 4(x– 1) + 10(x – 1)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T(x) when x lies in the given interval. (Round vour answer to six decimal places)
Consider the following function. f(x) = x, a = 1, n = 2, 0.8 < x s 1.2 (a) Approximate f by a Taylor polynomial with degreen at the number a. T2(x) = 1– 4(x– 1) + 10(x – 1)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T(x) when x lies in the given interval. (Round vour answer to six decimal places)
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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