Consider a function f : D → R where f(x) = 21n(2r – 1) + x³ for all æ e D where D = (0.5, 0). Using the third-order Taylor approximation around r = 2, obtain an expression for S(2.3). (You do not have to compute the value, but express your answer in terms of additions and multiplications of real numbers.)

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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Consider a function f : D → R where f(x) = 21n(2r – 1) + x³ for all æ e D where D =
(0.5, 0). Using the third-order Taylor approximation around r = 2, obtain an expression for
S(2.3). (You do not have to compute the value, but express your answer in terms of additions
and multiplications of real numbers.)
Transcribed Image Text:Consider a function f : D → R where f(x) = 21n(2r – 1) + x³ for all æ e D where D = (0.5, 0). Using the third-order Taylor approximation around r = 2, obtain an expression for S(2.3). (You do not have to compute the value, but express your answer in terms of additions and multiplications of real numbers.)
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