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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

Problem 41EQ

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Answer is given BUT need full detailed steps and process since I don't understand the concept.

Use Taylor series expansions to determine the error in
the approximation
u" (t) =
u(t+2h)-4u(t+h)+6u(t)-4u(t-h)+u(t–2h)
h4
Hint: expand u(t+ 2h), etc, out to the ho term.
eor

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