Let an = √n − √n + 1, and bn 1 (n+2)! (n+3)! * n terms of a series. Which one of the following tables is completed correctly? (Note dne = "does not exist") O O O Series n=1 an Σ-1 bn Series •n=1 an Σm=1 Series n=1 an bn. Series ΣΩ, an n= Σx=1 bn = lim Sn n→∞ 1 1 6 lim Sn n→∞ dne 13 3 lim Sn n→∞ dne 1 هاب 6 lim Sn n→∞ 1 1 3 Let s represent the partial sum of the first Does the series converge? Yes Yes Does the series converge? No Yes Does the series converge? No Yes Does the series converge? Yes Yes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
1
Let an
(n+3)!
n terms of a series. Which one of the following tables is completed correctly?
(Note dne = "does not exist")
√n − √n + 1, and bn
Series
an
Σn=1 bn
Series
∞
Σn=1 an
Σn=1bn
Series
Σn=1 an
Σn=1 bn
Series
Σα=1 an
bn
n=1
=
1
(n+2)!
lim Sn
n→∞
1
1
6
lim Sn
n→∞
dne
1
3
lim Sn
n→∞
dne
1
6
lim Sn
n→∞
1
C|| T
1
3
Let Sn represent the partial sum of the first
Does the series converge?
Yes
Yes
Does the series converge?
No
Yes
Does the series converge?
No
Yes
Does the series converge?
Yes
Yes
Transcribed Image Text:1 Let an (n+3)! n terms of a series. Which one of the following tables is completed correctly? (Note dne = "does not exist") √n − √n + 1, and bn Series an Σn=1 bn Series ∞ Σn=1 an Σn=1bn Series Σn=1 an Σn=1 bn Series Σα=1 an bn n=1 = 1 (n+2)! lim Sn n→∞ 1 1 6 lim Sn n→∞ dne 1 3 lim Sn n→∞ dne 1 6 lim Sn n→∞ 1 C|| T 1 3 Let Sn represent the partial sum of the first Does the series converge? Yes Yes Does the series converge? No Yes Does the series converge? No Yes Does the series converge? Yes Yes
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