Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f aboutx bar = a.a) What is the general expression of L(x) ?b) Find the linearization L(x) about a = 1 , a = 2 and a = 3.c) Which one of the above linearizations will fit the best for x = 2.5?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f about
x bar = a.
a) What is the general expression of L(x) ?
b) Find the linearization L(x) about a = 1 , a = 2 and a = 3.
c) Which one of the above linearizations will fit the best for x = 2.5?

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