Given the power series Σ 2 n A, x" n = 1 Use the technique that we covered in this lesson to force the series to start at "n = 3". A 2n A x" 2A, x? Σ. n A x" n = 1 n = 3 00 Σ 00 B n A x" = 1 + 2x + E n A, x" n = 3 00 E n A, x" = A, x' + E n A, x" n = 3 00 00 Σ n A x" n A x" 00 Σ E n A x" = x + 2x2 + 2n A x" n = 3 00 00 En A, x" = A,x! + 24,x? + Σ nA x" n = 3

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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q3

Given the power series
Σ
2 n A x"
n = 1
Use the technique that we covered in this lesson to force the series to start at "n = 3".
A
n A x"
2 A, x? +
n A x"
n = 3
Σ
n = 1
00
Ο Σ
B
2 n A x" = 1 + 2x +
n A x"
n = 3
00
2 n A, x" = A, x' +
Σ
n A x"
n = 1
n = 3
00
00
D
Σ
2 n A, x" =
2 n A, x"
n = 1
n = 3
00
E
2 n A x" = x + 2x2 + 2
n A x"
n = 1
n = 3
F
2 n A, x" = A, x' + 2A, x2 +
Σ
n A x"
n = 3
n = 1
Transcribed Image Text:Given the power series Σ 2 n A x" n = 1 Use the technique that we covered in this lesson to force the series to start at "n = 3". A n A x" 2 A, x? + n A x" n = 3 Σ n = 1 00 Ο Σ B 2 n A x" = 1 + 2x + n A x" n = 3 00 2 n A, x" = A, x' + Σ n A x" n = 1 n = 3 00 00 D Σ 2 n A, x" = 2 n A, x" n = 1 n = 3 00 E 2 n A x" = x + 2x2 + 2 n A x" n = 1 n = 3 F 2 n A, x" = A, x' + 2A, x2 + Σ n A x" n = 3 n = 1
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