Which of the following statements are TRUE? Select all that apply. The ratio test is often used to determine convergence of series involving factorials. 0 If liman = ∞o then the series Σa, diverges. 16-900 N=1 O If liman 1-100 =0 then the series Σla, is convergent. n=1 = 1 then the series a, converges conditionally. NO1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Which of the following statements are TRUE? Select all that apply.
The ratio test is often used to determine convergence of series involving factorials.
If lima oo then the series a,, diverges.
N=1
O
888
If liman
1-300
If lim
7-400
Garl
On
If lim
If lim 1-4 then the series a,, diverges.
71-400
n=1
71-400
0 then the series la is convergent.
-
n=1
O
00
= 1 then the series a, converges conditionally.
ww1
The ratio test provides a way of measuring how fast the terms of a series approach 0.
0.5 then the series a, converges absolutely.
N=1
Transcribed Image Text:Which of the following statements are TRUE? Select all that apply. The ratio test is often used to determine convergence of series involving factorials. If lima oo then the series a,, diverges. N=1 O 888 If liman 1-300 If lim 7-400 Garl On If lim If lim 1-4 then the series a,, diverges. 71-400 n=1 71-400 0 then the series la is convergent. - n=1 O 00 = 1 then the series a, converges conditionally. ww1 The ratio test provides a way of measuring how fast the terms of a series approach 0. 0.5 then the series a, converges absolutely. N=1
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