Find the second Taylor polynomial P2(x) for the function f(x) = excos(x) expanded about x0 = 0 (a) Use P2(0:5) to approximate f(0.5). Find an upper bound for the error |f(0.5)-P2(0.5)| using the error formula and compare it to the actual error.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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Find the second Taylor polynomial P2(x) for the function f(x) = excos(x) expanded about x0 = 0
(a) Use P2(0:5) to approximate f(0.5). Find an upper bound for the error |f(0.5)-P2(0.5)| using the
error formula and compare it to the actual error.

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