Use an appropriate test to determine whether the series given below converges or diverges. 00 Σ n=1 3n+9 n(n+1)(n+2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. 3 The Comparison Test with shows that the series converges. The Comparison Test with 2 n B. The series diverges because the limit used in the nth-Term Test is O C. 3 n shows that the series diverges. . (Type an exact answer.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use an appropriate test to determine whether the series given below converges or diverges.
00
Σ
n=1
3n+9
n(n+1)(n+2)
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
OA.
3
The Comparison Test with shows that the series converges.
2
n
B. The series diverges because the limit used in the nth-Term Test is
OC.
3
The Comparison Test with Σ-
n
2
shows that the series diverges.
.
(Type an exact answer.)
Transcribed Image Text:Use an appropriate test to determine whether the series given below converges or diverges. 00 Σ n=1 3n+9 n(n+1)(n+2) Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. 3 The Comparison Test with shows that the series converges. 2 n B. The series diverges because the limit used in the nth-Term Test is OC. 3 The Comparison Test with Σ- n 2 shows that the series diverges. . (Type an exact answer.)
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