§4.2 PROPERTIES OF POWER SERIES I Use the basic building block Σa, x< 1, together with th 1- x n=0 this section to find a power series representation for the given function interval of convergence. 1. f(x) = 2. f(x) = 3. g(x) = 1 1 + x 1 X 5 3 - =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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§4.2 PROPERTIES OF POWER SERIES I
∞
Use the basic building block
Σa, x< 1, together with the properties stated in
n=0
this section to find a power series representation for the given function. Also, determine the
interval of convergence.
1. f(x)
2. f(x)
3. g(x)
=
1
1 + x
1
X-
5
3
1 – x4
PROBLEM SET 4.2
X
Transcribed Image Text:§4.2 PROPERTIES OF POWER SERIES I ∞ Use the basic building block Σa, x< 1, together with the properties stated in n=0 this section to find a power series representation for the given function. Also, determine the interval of convergence. 1. f(x) 2. f(x) 3. g(x) = 1 1 + x 1 X- 5 3 1 – x4 PROBLEM SET 4.2 X
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