The Taylor polynomial of degree 100 for the function fabout x = 3 is given by P (x) = (x – 3)? – (x-3)1 (x-3)° +...+ (-1)n+1 (x-3)²n + 100 (x-3' + 2! .. 3! n! 50! What is the value of f(24) (3)? 1 24! 24! 12! 1 24! 24! 12!

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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The Taylor polynomial of degree 100 for the function fabout x = 3 is given by
(x–3)®
%3D
(x–3)4
(x–3)10
P (x) = (x – 3)² –
+...+ (–1)"+1 (x-3)²n
+ •
-
2!
3!
n!
50!
What is the value of f (24) (3)?
1
24!
24!
12!
1
24!
24!
12!
1
12!
Transcribed Image Text:The Taylor polynomial of degree 100 for the function fabout x = 3 is given by (x–3)® %3D (x–3)4 (x–3)10 P (x) = (x – 3)² – +...+ (–1)"+1 (x-3)²n + • - 2! 3! n! 50! What is the value of f (24) (3)? 1 24! 24! 12! 1 24! 24! 12! 1 12!
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