Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson to force the series to start at "n = 3". A E (n + 2) A, x(2n + 1) = 5A, x³ + E (n + 2) A, (2n + 1) %3D n = 0 n = 3 B2 (n + 2) A¸ x(2n + 1) n = 0 00 A,x' + 24, x3 + 3A, x + E (n + 2) A x(2n + 1) n = 3 © 2 (n + 2) A x(2n + 1) n = 0 00 2 A,x' + 3A, x3 + 4A, x5 + E (n + 2) A x(2n + 1) n = 3 00 DE (n + 2) A, x 00 (2n + 1) = 1 + 2x' + 3x² + E (n + 2) A x(2n + 1) n = 3 EE (n + 2) A, x(2n + 1) = A, x2 n = 0 + A,x + 2 (n + 2) A x(2n + 1) %3D n= 3 00 P2 n = 0 E (n + 2) A x(2n + 1) = 2 + 3x2 + 4 x + E (n + 2) A x(2n + 1) n = 3
Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson to force the series to start at "n = 3". A E (n + 2) A, x(2n + 1) = 5A, x³ + E (n + 2) A, (2n + 1) %3D n = 0 n = 3 B2 (n + 2) A¸ x(2n + 1) n = 0 00 A,x' + 24, x3 + 3A, x + E (n + 2) A x(2n + 1) n = 3 © 2 (n + 2) A x(2n + 1) n = 0 00 2 A,x' + 3A, x3 + 4A, x5 + E (n + 2) A x(2n + 1) n = 3 00 DE (n + 2) A, x 00 (2n + 1) = 1 + 2x' + 3x² + E (n + 2) A x(2n + 1) n = 3 EE (n + 2) A, x(2n + 1) = A, x2 n = 0 + A,x + 2 (n + 2) A x(2n + 1) %3D n= 3 00 P2 n = 0 E (n + 2) A x(2n + 1) = 2 + 3x2 + 4 x + E (n + 2) A x(2n + 1) 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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Question
q5

Transcribed Image Text:Given the power series
00
Σ (1+2) A,
x(2n + 1)
n = 0
Use the technique that we covered in this lesson to force the series to start at "n = 3".
%3D
A E (n + 2) A,
00
x (2n +
1)
5A, x3 +
Σ
2 (n + 2) A x(2n + 1)
n = 0
n = 3
00
B 2 (n + 2) A_ x(2n + 1)
A,x' + 2A, x3 +
3 A, x + E (n + 2) A x(2n + 1)
n = 0
n = 3
00
00
2 (n + 2) A x (2n + 1)
2 A,x' + 3 A, x3 + 4 A, x + 2 (n + 2) A x(2n + 1)
n = 0
n = 3
00
00
D
2 (n + 2) A x(2n + 1) = 1 + 2x' + 3x? +
E (n + 2) A, x
(2n + 1)
n = 0
n = 3
00
(E
2 (n + 2) A x (2n + 1)
A, x2 + A, x4 +
2 (n + 2) A x (2n + 1)
n = 0
2.
n = 3
00
E (n + 2) A, x(2n + 1) = 2 + 3x? + 4 x* + E (n + 2) A, x (2n + 1)
00
F
= 2 + 3x2 + 4x4 +
n = 0
n = 3
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