Consider the power series > 22n (2x – 1)". Vn2 +1 n=1 Use alternating series test to show that the series is convergent for x = 3/8. Use limit comparison test to show that the series is divergent for x = 5/8. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve for the following (Power Series)

22n
Consider the power series >
(2а — 1)".
2
n² +1
n=1
Use alternating series test to show that the series is convergent for x = 3/8.
Use limit comparison test to show that the series is divergent for x = 5/8.
Transcribed Image Text:22n Consider the power series > (2а — 1)". 2 n² +1 n=1 Use alternating series test to show that the series is convergent for x = 3/8. Use limit comparison test to show that the series is divergent for x = 5/8.
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