35.E. Show that the series 1. 1 1 1 is convergent, but that both the Ratio and the Root Tests fail to apply. 35.F. If a and b are positive numbers, then 1 Σ (an +b)" converges if p>1 and diverges if p s 1. 35 G Discuse the series whose nth term

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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35.E. Show that the series
mil
1. 1
1
1*2+3++
is convergent, but that both the Ratio and the Root Tests fail to apply.
35.F. If a and b are positive numbers, then
Σ
(an + b)"
converges if p>1 and diverges if ps 1.
35 G Discuse the series whose nth term
Transcribed Image Text:35.E. Show that the series mil 1. 1 1 1*2+3++ is convergent, but that both the Ratio and the Root Tests fail to apply. 35.F. If a and b are positive numbers, then Σ (an + b)" converges if p>1 and diverges if ps 1. 35 G Discuse the series whose nth term
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