§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 - =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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