Consider the following function. f (x) = ln(1 + 2r),a=3,n= 3, 2.6 < 1< 3.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f T(x) when x lies in the given interval. (Round the answer to six decimal places.) |R3(x)| s [ (c) Check your result in part (b) by graphing JR,(x)|. (Do this on your graphing device. Your instructor may ask to see this graph.)
Consider the following function. f (x) = ln(1 + 2r),a=3,n= 3, 2.6 < 1< 3.4 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f T(x) when x lies in the given interval. (Round the answer to six decimal places.) |R3(x)| s [ (c) Check your result in part (b) by graphing JR,(x)|. (Do this on your graphing device. Your instructor may ask to see this graph.)
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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Transcribed Image Text:Consider the following function.
f (x) = ln(1 + 2r),a=3,n= 3, 2.6 < 1< 3.4
(a) Approximate f by a Taylor polynomial with degree n at the number a.
T3(x) =
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f T(x) when x lies in the given interval. (Round the answer to six decimal places.)
|R3(x)| s [
(c) Check your result in part (b) by graphing JR,(x)|. (Do this on your graphing device. Your instructor may ask to see this graph.)
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