Use the Integral Test to determine whether the infinite series is convergent. ∞ n² n=16 (n³+7) To perform the integral test, one should calculate the improper integral √16 dx = = Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, ∞ n² the infinite series Ë 9 n=16 (n³ + 7) ² 2+7² 9 A. converges 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.
∞
n²
Σ
n=16 (n³ +7)
To perform the integral test, one should calculate the improper integral
By the Integral Test,
the infinite series Σ
dx
OA. converges
B. diverges
16
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
=
n²
9
n=16 (n³ + 7)
9
2
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. ∞ n² Σ n=16 (n³ +7) To perform the integral test, one should calculate the improper integral By the Integral Test, the infinite series Σ dx OA. converges B. diverges 16 Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. = n² 9 n=16 (n³ + 7) 9 2
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