5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to show the series In(n) n5/4 n=1 n3/2 n=1 converges. As part of your solution, clearly state any tests of convergence used.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series
to show the series
In(n)
n5/4
n=1
n3/2
n=1
converges. As part of your solution, clearly state any tests
of convergence used.
Transcribed Image Text:5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to show the series In(n) n5/4 n=1 n3/2 n=1 converges. As part of your solution, clearly state any tests of convergence used.
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