4. Consider the function f(x) = lIn(1 – x), defined for x E (-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.
4. Consider the function f(x) = lIn(1 – x), defined for x E (-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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4.
Consider the function f(x) = ln(1 – x), defined for x E (-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 ƒ with the Taylor polynomial of degree 4
centered at c= -2, for x =
-. Give an exact answer.
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