10) Test the series for -n 8 7(e) n=T convergence bn = 7 en Compute the derivative: d bn. dn Since d bn dn the sequence is eventually always ²1 is eventually always 21 is eventually always 20 is eventually always >0 keeps changing sign or divergence Use alternating series The alternating series tells us is eventually monoton is not monotone the series converges the series diverges nothing

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10) Test the series for convergence
37(e)"
bn = 7
en
n=T
Compute the derivative: d bn.
dn
Since d bn
dn
the sequence
is eventually always ²1
is eventually always >1
is eventually always 20
is eventually always >0
keeps changing sign
or divergence
Use alternating series
test
The alternating series tells us
is eventually monotone
is not monotone
the series converges
the series divergos
nothing
Transcribed Image Text:10) Test the series for convergence 37(e)" bn = 7 en n=T Compute the derivative: d bn. dn Since d bn dn the sequence is eventually always ²1 is eventually always >1 is eventually always 20 is eventually always >0 keeps changing sign or divergence Use alternating series test The alternating series tells us is eventually monotone is not monotone the series converges the series divergos nothing
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