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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)

Advanced Engineering Mathematics
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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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)
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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