Find a power series representation centered at the origin for the function 1. f(x) 2. f(2) 3. f(x) 4. f(2) 5. f(x) = = = = = f(2) Σ η: Σ n=1 α w Σ n=1 Σ n=1 = α 1 (6 — 2) ². 1 6n+1 1 6n+1 η 6η τη Σ (n+1)=n n=0 τη n-1 η 6n+1 n+1 η 2-1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Find a power series representation centered
at the origin for the function
1. f(z)
2. f(z)
3. f(z)
4. f(z)
5. f(2)
=
=
=
=
=
f(x)
ox
n = 0
n
n=1
8
Σ
n=1
=
0
6. f(2) = \
=
n = 0
1
(6 — 2)² ·
1
6+1
1
6n+1
n
67
<?
> (n + 1)z”
n = 0
zn
27-1
n
67+1
z7-1
n+1
67
n
Transcribed Image Text:Find a power series representation centered at the origin for the function 1. f(z) 2. f(z) 3. f(z) 4. f(z) 5. f(2) = = = = = f(x) ox n = 0 n n=1 8 Σ n=1 = 0 6. f(2) = \ = n = 0 1 (6 — 2)² · 1 6+1 1 6n+1 n 67 <? > (n + 1)z” n = 0 zn 27-1 n 67+1 z7-1 n+1 67 n
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