d the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = ln(5-x) -swer: f(x) = -x-In (5) hat is the radius of convergence? swer: R 5 -(3-(1)²-x²) 52.2 - In (5) + (5.(1)³.x³) 53.3 -In (5) + (5-(1) 4-x4) 54.4 -In(5) (5-(1)-x5) 55.5 -In (5) +...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the first five non-zero terms of power series representation centered at x = 0 for the function below.
f(x) = ln(5 - x)
Answer: f(x) = -x-In (5) +
What is the radius of convergence?
Answer: R = 5
-(3-(1)²-x²)
5².2
-In (5)
(5-(1) ³-x³)
5³.3
- In (5) +
(5-(1) 4-x²)
54.4
In(5) +
(5-(1) ³ - x³)
55.5
- In (5)+...
Transcribed Image Text:Find the first five non-zero terms of power series representation centered at x = 0 for the function below. f(x) = ln(5 - x) Answer: f(x) = -x-In (5) + What is the radius of convergence? Answer: R = 5 -(3-(1)²-x²) 5².2 -In (5) (5-(1) ³-x³) 5³.3 - In (5) + (5-(1) 4-x²) 54.4 In(5) + (5-(1) ³ - x³) 55.5 - In (5)+...
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