and the first five non-zero terms of Taylor series centered at x = 9 for the function below. f(x) = ln x Answer: f(x) = In (9) + 9 (x-9) + What is the radius of convergence? 162)(x-9)² + 218/(x-9)3 + (-26244)(x-9)4+... 1

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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Find the first five non-zero terms of Taylor series centered at x = 9 for the function below.
f(x) = ln x
In (9)+(x-9)
Answer: f(x) = ln (9) +
What is the radius of convergence?
Answer: R = ∞
+
1
162
2
(x-9)² +
2157 (x-9)3
+
4
(x−9) ² + ..
26244)(x
Transcribed Image Text:Find the first five non-zero terms of Taylor series centered at x = 9 for the function below. f(x) = ln x In (9)+(x-9) Answer: f(x) = ln (9) + What is the radius of convergence? Answer: R = ∞ + 1 162 2 (x-9)² + 2157 (x-9)3 + 4 (x−9) ² + .. 26244)(x
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