00 The series f(x)=Σ (a) (b) n can be shown to converge on the interval [-1, 1). Find the series f'(x) in series form and find its interval of convergence, showing all work, of course! Find the series [ƒ(x)dx in series form and find its interval of convergence, showing all work, of course!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4.
The series f(x) = can be shown to converge on the interval [-1, 1).
n=1 n
(a)
Find the series f'(x) in series form and find its interval of convergence,
showing all work, of course!
(b)
Find the series [ f(x)dx in series form and find its interval of
convergence, showing all work, of course!
Transcribed Image Text:4. The series f(x) = can be shown to converge on the interval [-1, 1). n=1 n (a) Find the series f'(x) in series form and find its interval of convergence, showing all work, of course! (b) Find the series [ f(x)dx in series form and find its interval of convergence, showing all work, of course!
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