1. (a) Find quadratic and cubic Taylor polynomials for xs at r = 1 (b) Show that these polynomials are upper and lower bounds for r for x >1 (c) Use these bounds to approximate 1.2s and 2 (d) Estimate the error (without using better approximations)

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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1. (a) Find quadratic and cubic Taylor polynomials for rs at x = 1
(b) Show that these polynomials are upper and lower bounds for a for a > 1
(c) Use these bounds to approximate 1.23 and 23
(d) Estimate the error (without using better approximations)
Transcribed Image Text:1. (a) Find quadratic and cubic Taylor polynomials for rs at x = 1 (b) Show that these polynomials are upper and lower bounds for a for a > 1 (c) Use these bounds to approximate 1.23 and 23 (d) Estimate the error (without using better approximations)
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