Taylor series from graph. If the graph of f is y A 1 1 f 5 X Explain why each of the following series cannot be the Taylor series of f centered at the point given (a) 1.5-0.75(x-1) + 1.5(x − 1)² – 0.1(x − 1)³ +. (centered at x = 1) (b) 1.2-0.75(x - 5) - 1.2(x - 5)² -0.2(x - 5)³ + ... (centered at x = 5)
Taylor series from graph. If the graph of f is y A 1 1 f 5 X Explain why each of the following series cannot be the Taylor series of f centered at the point given (a) 1.5-0.75(x-1) + 1.5(x − 1)² – 0.1(x − 1)³ +. (centered at x = 1) (b) 1.2-0.75(x - 5) - 1.2(x - 5)² -0.2(x - 5)³ + ... (centered at x = 5)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 2RE
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Transcribed Image Text:Taylor series from graph. If the graph of f is
y A
1
1
f
5
X
Explain why each of the following series cannot be the Taylor series of f centered at the point given
(a) 1.5-0.75(x-1) + 1.5(x − 1)² – 0.1(x − 1)³ +. (centered at x = 1)
(b) 1.2-0.75(x - 5) - 1.2(x - 5)² -0.2(x - 5)³ + ... (centered at x = 5)
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