(a) Check all of the following that are true for the series ∞ n=1 (n!)³ (3n)! A. This series converges B. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. F. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series. ∞ (b) Check all of the following that are true for the series ; (n²-3) n=1 A. This series converges B. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. E. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
icon
Related questions
Question
Q5
(a) Check all of the following that are true for the series
∞
n=1
(n!)³
(3n)!
A. This series converges
B. This series diverges
C. The integral test can be used to determine convergence of this series.
D. The comparison test can be used to determine convergence of this series.
E. The limit comparison test can be used to determine convergence of this series.
F. The ratio test can be used to determine convergence of this series.
G. The alternating series test can be used to determine convergence of this series.
∞
(b) Check all of the following that are true for the series ; (n²-3)
n=1
A. This series converges
B. This series diverges
C. The integral test can be used to determine convergence of this series.
D. The comparison test can be used to determine convergence of this series.
E. The limit comparison test can be used to determine convergence of this series.
E. The ratio test can be used to determine convergence of this series.
G. The alternating series test can be used to determine convergence of this series.
Transcribed Image Text:(a) Check all of the following that are true for the series ∞ n=1 (n!)³ (3n)! A. This series converges B. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. F. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series. ∞ (b) Check all of the following that are true for the series ; (n²-3) n=1 A. This series converges B. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. E. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage