(2) Find a power series for the function centered at 0. 3 1 (x + 1)² 1 (x + 1)³ (a) f(x) = (b) f(x) = 2x 5 2 1-² (c) f(x) = (d) f(x) = (e) f(x) = ln(x + 1) (f) f(x) = ln(1-x²)
(2) Find a power series for the function centered at 0. 3 1 (x + 1)² 1 (x + 1)³ (a) f(x) = (b) f(x) = 2x 5 2 1-² (c) f(x) = (d) f(x) = (e) f(x) = ln(x + 1) (f) f(x) = ln(1-x²)
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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Please answer questions d, e and f
Transcribed Image Text:(2) Find a power series for the function centered at 0.
3
(a) f(x) =
(b) f(x) =
2x
5
2
1-²
(c) f(x) =
(d) f(x):
=
1
(x + 1)²
1
(x + 1)³
(e) f(x) = ln(x + 1)
(f) f(x) = ln(1-x²)
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