Suppose T4(x) = 2 – 4(x – 2) + 5(x – 2)² - 8(x – 2)3 + 5(x – 2)4 is the degree 4 Taylor polynomial centered at x = 2 for some function f. What is the value of f(3)(2)?
Suppose T4(x) = 2 – 4(x – 2) + 5(x – 2)² - 8(x – 2)3 + 5(x – 2)4 is the degree 4 Taylor polynomial centered at x = 2 for some function f. What is the value of f(3)(2)?
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:Suppose
T4(x)
2 – 4(x – 2) + 5(x – 2)²
1. f(3) (2)
%3D
- 8(x – 2)³ + 5(x – 2)4
O 2. f(3) (2) = 3
8
is the degree 4 Taylor polynomial centered at
x = 2 for some function f.
What is the value of f(3)(2)?
3. f(3) (2)
48
%3D
4. f(3) (2)
-8
5. f(3) (2) =
-48
%3D
6. f(3) (2)
= 8
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