Use the Integral Test to determine whether the infinite series is convergent. ∞ n² 7 n=24 (n³ +9) 2 To perform the integral test, one should calculate the improper integral √24 inf dx = inf D Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, the infinite series ● A. converges ○ B. diverges n² n=24 (n³ +9) 7 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Use the Integral Test to determine whether the infinite series is convergent.
∞
n²
7
n=24 (n³ +9)
2
To perform the integral test, one should calculate the improper integral
√24 inf
dx =
inf
D
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
By the Integral Test,
the infinite series
● A. converges
○ B. diverges
n²
n=24 (n³ +9)
7
2
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. ∞ n² 7 n=24 (n³ +9) 2 To perform the integral test, one should calculate the improper integral √24 inf dx = inf D Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, the infinite series ● A. converges ○ B. diverges n² n=24 (n³ +9) 7 2
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