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.
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d8b5446-761f-44a4-9c03-cc0715c36adb%2F2f2b1a82-61db-47ae-a774-edaac696cc93%2F0w0vz8_processed.png&w=3840&q=75)
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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