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4 Let T2(x) be the second-degree Taylor polynomial centered at a = 3 for f(x) = A) Find T2(x). B) Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation f(x) 2 T2(x) for 11

4 Let T2(x) be the second-degree Taylor polynomial centered at a = 3 for f(x) = A) Find T2(x). B) Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation f(x) 2 T2(x) for 11

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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4 Let T2 (x) be the second-degree Taylor polynomial centered at a = 3 for f(x) A) Find T2(x). B) Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation f(x) ~ T2(x) for 11 < x < 3 . As always, be sure to give an exact answer --- a decimal approximation is not enough and not 4 needed. (Your answer should not depend on or n.)
Transcribed Image Text:4 Let T2 (x) be the second-degree Taylor polynomial centered at a = 3 for f(x) A) Find T2(x). B) Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation f(x) ~ T2(x) for 11 < x < 3 . As always, be sure to give an exact answer --- a decimal approximation is not enough and not 4 needed. (Your answer should not depend on or n.)
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