Use the Integral Test to determine whether the infinite series is convergent. 1 n2 + 81 n=9 Fill in the corresponding integrand and the value of the improper integral. Enter inf for o∞, -inf for -o, and DNE if the limit does not exist. Compare with dx = By the Integral Test, 1 the infinite series > n2 + 81 n=9 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.
1
n2 + 81
n=9
Fill in the corresponding integrand and the value of the
improper integral.
Enter inf for ∞, -inf for -xx, and DNE if the limit does
not exist.
Compare with f
dx =
%3D
By the Integral Test,
1
the infinite series
n2 + 81
n=9
A. converges
B. diverges
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. 1 n2 + 81 n=9 Fill in the corresponding integrand and the value of the improper integral. Enter inf for ∞, -inf for -xx, and DNE if the limit does not exist. Compare with f dx = %3D By the Integral Test, 1 the infinite series n2 + 81 n=9 A. converges B. diverges
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