Answered: Exercise 5: Let f and g be functions… | bartleby

Linear Algebra: A Modern Introduction

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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Exercise 5: Let f and g be functions with sixth-order Taylor polynomials (about 0):
P6.f(x= 1-+2x2 -53 +x4 - 6,
Pe.g(x) = x - x2+x3 -2x4 x6.
Compute the following sixth-order Taylor polynomials
(a) (f g) (x), about x = 0
(b) (fg)(x), about x = 0
(c) fog(x), about x = 0
Explain why you do not have enough information to compute the sixth-order Taylor polynomial for
go f(x) about x = 0.

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