Use the Integral Test to determine whether the infinite series is convergent. 3 2lnn Fill in the corresponding integrand and the value of the improper integral. Enter inf for ∞, -inf for -o, and DNE if the limit does not exist. 8. Compare with J 3/2^(In n) dx = By the Integral Test, 3
Use the Integral Test to determine whether the infinite series is convergent. 3 2lnn Fill in the corresponding integrand and the value of the improper integral. Enter inf for ∞, -inf for -o, and DNE if the limit does not exist. 8. Compare with J 3/2^(In n) dx = By the Integral Test, 3
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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Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent.
3
2lnn
n=1
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
Compare with 3/2^(In n)
dx
By the Integral Test,
3
the infinite series
2lnn
n=1
A. converges
B. diverges
22
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