Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

q15

Given the power series 00 2 n A x(n - 1) Σ n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. (A) Σ n A x" - 1) becomes > -1 A, xR R n =1 R = 1 00 00 > n A x" -1) becomes (R - 1) A (R - 1) ** B n =1 R =0 n A x" - 1) becomes Ž (R - 1) A (e - 1) ** R = -1 00 E n A, xa - 1) becomes ERA, * n =1 R = 1 00 00 n A x" - 1) becomes Ž (R + 1) A (R + 1) ** E n =1 R =0
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Transcribed Image Text:Given the power series 00 2 n A x(n - 1) Σ n =1 Use the technique that we covered in this lesson to Shift the Index of the Power Series so that the exponent of the power series is simplified. (A) Σ n A x" - 1) becomes > -1 A, xR R n =1 R = 1 00 00 > n A x" -1) becomes (R - 1) A (R - 1) ** B n =1 R =0 n A x" - 1) becomes Ž (R - 1) A (e - 1) ** R = -1 00 E n A, xa - 1) becomes ERA, * n =1 R = 1 00 00 n A x" - 1) becomes Ž (R + 1) A (R + 1) ** E n =1 R =0
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