Use the Integral Test to determine whether the infinite series is convergent. Σ -- n n=1 Fill in the corresponding integrand and the value of the improper integral. Enter inf for ox, -inf for -o, and DNE if the limit does not exist. Compare with dx %3D By the Integral Test, Σ -6- n the infinite series > n=1 A. converges O B. diverges

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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Use the Integral Test to determine whether the infinite
series is convergent.
Σ
--
n
n=1
Fill in the corresponding integrand and the value of the
improper integral.
Enter inf for 0, -inf for -x∞, and DNE if the limit does
not exist.
Compare with
dx =
By the Integral Test,
Σ
6-
the infinite series
n=1
A. converges
O B. diverges
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. Σ -- n n=1 Fill in the corresponding integrand and the value of the improper integral. Enter inf for 0, -inf for -x∞, and DNE if the limit does not exist. Compare with dx = By the Integral Test, Σ 6- the infinite series n=1 A. converges O B. diverges
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