too (4 – x)" /n + 5 9n · 7" Consider the power series n=1 Use Limit Comparison Test to show that the series diverges when x = • Use Alternating Series Test to show that the series converges when x = •Find the radius and interval of convergence of the power series. = -3. = 11.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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+oo
(4 – x)" /n + 5
Consider the power series
9n · 7n
n=1
Use Limit Comparison Test to show that the series diverges when x =
: -3.
Use Alternating Series Test to show that the series converges when x = 11.
•Find the radius and interval of convergence of the power series.
Transcribed Image Text:+oo (4 – x)" /n + 5 Consider the power series 9n · 7n n=1 Use Limit Comparison Test to show that the series diverges when x = : -3. Use Alternating Series Test to show that the series converges when x = 11. •Find the radius and interval of convergence of the power series.
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