00 (n+7)! Does the series converge or diverge? 7!n!7" n= 1 Choose the correct answer below. O A. The series converges because the limit found using the ratio test is less than 1. B. The ratio test is inconclusive, but the series diverges by the nth-term test. O C. The ratio test is inconclusive, but the series converges by the nth-term test. O D. The series diverges because the limit found using the ratio test is greater than 1.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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Question 16
00
(n+7)!
Does the series
converge or diverge?
7!n!7"
n= 1
Choose the correct answer below.
A. The series converges because the limit found using the ratio test is less than 1.
B. The ratio test is inconclusive, but the series diverges by the nth-term test.
C. The ratio test is inconclusive, but the series converges by the nth-term test.
D. The series diverges because the limit found using the ratio test is greater than 1.
Transcribed Image Text:00 (n+7)! Does the series converge or diverge? 7!n!7" n= 1 Choose the correct answer below. A. The series converges because the limit found using the ratio test is less than 1. B. The ratio test is inconclusive, but the series diverges by the nth-term test. C. The ratio test is inconclusive, but the series converges by the nth-term test. D. The series diverges because the limit found using the ratio test is greater than 1.
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