2 (n2) 00 Show that > diverges. Recall from the Laws of Exponents that 2 n! (n²) = (2")". n= 1 ..... (n²) Which limit below is the correct limit for the Ratio Test, where a, = -? n! 2 (n²) 2(n*) . n! n! O A. lim n→0 2n+ 1)2 О В. lim n-00 2 (n+ 1²) • (n + 1)! (n)! 2(n+ 1)2 2 (n?) (n + 1)! O D. lim n→0 2 (n+ 12) lim (n²) n-00 2 n!

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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Question
(n²)
diverges. Recall from the Laws of Exponents that 2 (n)
Show that >
n!
(2")".
n= 1
2 (n?)
:?
n!
Which limit below is the correct limit for the Ratio Test, where an
%3D
2 (n?)
2 (n2)
•n!
n!
O A.
lim
В.
lim
2(n + 1)2
(n+ 12)
• (n + 1)!
(n)!
(n + 1)2
2 (n?)
lim
(n + 1)!
C.
lim
D.
2 (n?)
(n+ 12)
n-0 2
n!
Transcribed Image Text:(n²) diverges. Recall from the Laws of Exponents that 2 (n) Show that > n! (2")". n= 1 2 (n?) :? n! Which limit below is the correct limit for the Ratio Test, where an %3D 2 (n?) 2 (n2) •n! n! O A. lim В. lim 2(n + 1)2 (n+ 12) • (n + 1)! (n)! (n + 1)2 2 (n?) lim (n + 1)! C. lim D. 2 (n?) (n+ 12) n-0 2 n!
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