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8. State the alternating series test. As well, suppose the sequence {ak}=o is decreasing and ak > 0 k=0 for all k, then prove the partial sums of odd index of >(-1)*ar is bounded above. k=0

8. State the alternating series test. As well, suppose the sequence {ak}=o is decreasing and ak > 0 k=0 for all k, then prove the partial sums of odd index of >(-1)*ar is bounded above. k=0

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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8. State the alternating series test. As well, suppose the sequence {ak}, is decreasing and ak > 0 for all k, then prove the partial sums of odd index of >(-1)*ak is bounded above. k=0
Transcribed Image Text:8. State the alternating series test. As well, suppose the sequence {ak}, is decreasing and ak > 0 for all k, then prove the partial sums of odd index of >(-1)*ak is bounded above. k=0
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