(c) (1) Find the Taylor polynomial P2(x) for the function f(x) =/x at x = 9. (ii) Use it to approximate v10, writing your answer as a single fraction. (iii) Use Taylor's Theorem to find an upper bound for the error in this approximation. (Write your answer as either a fraction or as a decimal to 1 significant figure.)

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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(c)
(1) Find the Taylor polynomial p2(x) for the function f(x)=/x at X = 9.
(ii) Use it to approximate v 10, writing your answer as a single fraction.
(iii) Use Taylor's Theorem to find an upper bound for the error in this approximation. (Write your answer as either a fraction or as a decimal to 1 significant figure.)
Transcribed Image Text:(c) (1) Find the Taylor polynomial p2(x) for the function f(x)=/x at X = 9. (ii) Use it to approximate v 10, writing your answer as a single fraction. (iii) Use Taylor's Theorem to find an upper bound for the error in this approximation. (Write your answer as either a fraction or as a decimal to 1 significant figure.)
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