Use the Integral Test to determine whether the infinite series is convergent. n² n=24 (n³ +9) 7 2 To perform the integral test, one should calculate the improper integral √2 -inf £24 dx = -inf Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, the infinite series O A. converges ○ B. diverges ∞ n² 9) ³/ n=24 (n³ +9)

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
Question
Use the Integral Test to determine whether the infinite series is convergent.
n²
n=24 (n³ +9)
7
2
To perform the integral test, one should calculate the improper integral
√2 -inf
£24
dx
=
-inf
Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist.
By the Integral Test,
the infinite series
O A. converges
○ B. diverges
∞
n²
9) ³/
n=24 (n³ +9)
Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent. n² n=24 (n³ +9) 7 2 To perform the integral test, one should calculate the improper integral √2 -inf £24 dx = -inf Enter inf for ∞, -inf for -∞, and DNE if the limit does not exist. By the Integral Test, the infinite series O A. converges ○ B. diverges ∞ n² 9) ³/ n=24 (n³ +9)
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