Use the Integral Test to determine whether the infinite series is convergent. ∞ n² Σ 9 n=21 (n³ +9) ² To perform the integral test, one should calculate the improper integral √21 A dx = Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, ∞ the infinite series Σ n n=21 (n³ + 9)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use the Integral Test to determine whether the infinite series is convergent.
n²
9
n=21 (n³ + 9) *
To perform the integral test, one should calculate the improper integral
√21
dx =
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
By the Integral Test,
∞
the infinite series Σ
O A. converges
OB. diverges
n²
9
n=21 (n³ + 9) ²
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. n² 9 n=21 (n³ + 9) * To perform the integral test, one should calculate the improper integral √21 dx = Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, ∞ the infinite series Σ O A. converges OB. diverges n² 9 n=21 (n³ + 9) ²
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