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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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