Does the following series converge or diverge? Give reasons for your answer. ∞ 6 n!n! Σ (2n)! n=1 Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. The series diverges by the Ratio Test since the limit resulting from the test is B. The series converges by the Ratio Test since the limit resulting from the test is C. The series diverges by the Root Test since the limit resulting from the test is D. The series converges by the Root Test since the limit resulting from the test is >1. <1. >1. <1.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 28RE: A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series...
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Does the following series converge or diverge? Give reasons for your answer.
∞
Σ
n=1
6n!n!
(2n)!
Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer.)
A. The series diverges by the Ratio Test since the limit resulting from the test is
B. The series converges by the Ratio Test since the limit resulting from the test is
C. The series diverges by the Root Test since the limit resulting from the test is
D. The series converges by the Root Test since the limit resulting from the test is
>1.
<1.
>1.
<1.
...
Transcribed Image Text:Does the following series converge or diverge? Give reasons for your answer. ∞ Σ n=1 6n!n! (2n)! Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. The series diverges by the Ratio Test since the limit resulting from the test is B. The series converges by the Ratio Test since the limit resulting from the test is C. The series diverges by the Root Test since the limit resulting from the test is D. The series converges by the Root Test since the limit resulting from the test is >1. <1. >1. <1. ...
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