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+00 (x+7)" ITEMS: Consider the power series n=2 2" Vn2 – 1' 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 x = -9 absolute or conditional? Explain why.

+00 (x+7)" ITEMS: Consider the power series n=2 2" Vn2 – 1' 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 x = -9 absolute or conditional? Explain why.

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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+00 (x+7)" 2" Vn2 – 1" ITEMS: 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 x = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
Transcribed Image Text:+00 (x+7)" 2" Vn2 – 1" ITEMS: 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 x = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
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