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+∞ (4-x)" /(n+5) 9n · 7n See the power series Lm=1 A. Use Limit Comparisan Test to show that the series diverges when x =-3. B. Use Alternating Series Test to show that the series converges when x = 1. C. Find the radius and interval of convergence of the power series.

+∞ (4-x)" /(n+5) 9n · 7n See the power series Lm=1 A. Use Limit Comparisan Test to show that the series diverges when x =-3. B. Use Alternating Series Test to show that the series converges when x = 1. C. Find 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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See the power series +o (4-x)" /(n+5) Lm=1 9n · 7n A. Use Limit Comparison Test to show that the series diverges when x =-3. B. Use Alternating Series Test to show that the series converges when x = 1. C. Find the radius and interval of convergence of the power series.
Transcribed Image Text:See the power series +o (4-x)" /(n+5) Lm=1 9n · 7n A. Use Limit Comparison Test to show that the series diverges when x =-3. B. Use Alternating Series Test to show that the series converges when x = 1. C. Find the radius and interval of convergence of the power series.
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