2. Find the power series representation of the following functions. And then write out their I.O.C.. 1 a. f(x) : d. f(x) = In(x² + 1) 7+2x b. f(x) = e. f(x): arctan(3x²) %3D 3 – 5x 1 x – 3 c. f(z) = 1-2)5 f. f(x) = %3D x)3 x² – 6x + 10

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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2. Find the power series representation of the following functions. And then write out their I.O.C..
1
a. f(x)
d. f(x) = ln(x² + 1)
7+2x
b. f(x) =
e. f(x) = arctan(3x²)
%3D
3 — 5х
1
x – 3
c. f(x)
f. f(x) =
(1 — г)3
x² – 6x + 10
Transcribed Image Text:2. Find the power series representation of the following functions. And then write out their I.O.C.. 1 a. f(x) d. f(x) = ln(x² + 1) 7+2x b. f(x) = e. f(x) = arctan(3x²) %3D 3 — 5х 1 x – 3 c. f(x) f. f(x) = (1 — г)3 x² – 6x + 10
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