ASAP 3. Let f(r) = 1+r+x² + x* + r +r°."ind T3(r), the Taylor polynomial of f at r = 0 with degree 3 by using thedefinition of Taylor polynomials.Find the remainder R3(x) = f(r) – T3(x).Find the maximum value of f(4 (r) on the interval |r| <0.1.| Justify that Taylor's inequality holds true for R3(0.1) using your result fromtne previous question.

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Let J(r) = 1+r "ind T3(1), the Taylor polynomial of f at r = 0 with degree 3 by using the definition of Taylor polynomials. Find the remainder R3(r) = f(x) – T3(r). Find the maximum value of f(4)(x) on the interval |r|< 0.1. Justify that Tayłor's inequality holds true for R3(0.1) using your result from tne previous question.

Let J(r) = 1+r "ind T3(1), the Taylor polynomial of f at r = 0 with degree 3 by using the definition of Taylor polynomials. Find the remainder R3(r) = f(x) – T3(r). Find the maximum value of f(4)(x) on the interval |r|< 0.1. Justify that Tayłor's inequality holds true for R3(0.1) using your result from tne previous question.

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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