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(x+7)" 2" Vn2 – 1 Consider the power series | 1. Use Limit Comparison Test to show that the series diverges when ar 5. %3D 2. Use Alternating Series Test to show that the series converges when r = -9. 3. Is the convergence of the series at x = -9 absolute or conditional? Explain why. %3D 4. Determine the radius and interval of convergence of the power series.

(x+7)" 2" Vn2 – 1 Consider the power series | 1. Use Limit Comparison Test to show that the series diverges when ar 5. %3D 2. Use Alternating Series Test to show that the series converges when r = -9. 3. Is the convergence of the series at x = -9 absolute or conditional? Explain why. %3D 4. Determine the radius and interval of convergence of the power series.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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+oo (x + 7)" 2" Vn? – 1 Consider the power series n=2 1. Use Limit Comparison Test to show that the series diverges when x = -5. 2. Use Alternating Series Test to show that the series converges when x = -9. 3. Is the convergence of the series at r = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
Transcribed Image Text:+oo (x + 7)" 2" Vn? – 1 Consider the power series n=2 1. Use Limit Comparison Test to show that the series diverges when x = -5. 2. Use Alternating Series Test to show that the series converges when x = -9. 3. Is the convergence of the series at r = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
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