Consider the function f(x) = In(1 – x), defined for x € (-0, 1). (a) Find the Taylor polynomial of degree n of f centered at c= -2. (b) Find an upper bound for the error in approximating f with the Taylor polynomial of degree 4 centered at c = -2, for x = -. Give an exact answer. %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
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4.
Consider the function f(x) = In(1 – x), defined for x E (-0, 1).
%3D
(a) Find the Taylor polynomial of degree n of f centered at c= -2.
(b) Find an upper bound for the error in approximating f with the Taylor polynomial of degree 4
centered at c=
-2, for x = -. Give an exact answer.
Transcribed Image Text:4. Consider the function f(x) = In(1 – x), defined for x E (-0, 1). %3D (a) Find the Taylor polynomial of degree n of f centered at c= -2. (b) Find an upper bound for the error in approximating f with the Taylor polynomial of degree 4 centered at c= -2, for x = -. Give an exact answer.
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