+00(x+7)"2" Vn2 – 1"ITEMS: Consider the power seriesn=21. 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.

As per the policy we are providing the solutions of first three subparts. Given : The given series…

Answered: +00 (x+7)" ITEMS: Consider the power…

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)" 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.