cadena (jc59484) – HW13 – lawn – (55930)
1
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printout
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have
20
questions.
Multiplechoice questions may continue on
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001
10.0points
Which, if any, of the following statements
are true?
A. If 0
≤
a
n
≤
b
n
and
summationdisplay
b
n
diverges, then
summationdisplay
a
n
diverges
B. The Ratio Test can be used to determine
whether
summationdisplay
1
/n
! converges.
C. If
summationdisplay
a
n
converges, then
lim
n
→ ∞
a
n
= 0.
1.
A only
2.
B and C only
3.
A and B only
4.
none of them
5.
all of them
6.
A and C only
7.
B only
8.
C only
002
10.0points
Which one of the following properties does
the series
∞
summationdisplay
m
=2
(

1)
m
m
m
2
+ 2
have?
1.
absolutely convergent
2.
divergent
3.
conditionally convergent
003
10.0points
If
∑
n
a
n
converges, which, if any, of the
following statements are true:
(A)
summationdisplay
n

a
n

is convergent
,
(B)
lim
n
→ ∞
a
n
= 0
.
1.
neither A nor B
2.
A only
3.
both A and B
4.
B only
004
10.0points
Determine which, if either, of the series
A.
∞
summationdisplay
n
=1
1
n
!
cos
parenleftBig
n π
3
parenrightBig
B.
∞
summationdisplay
n
=1
(

1)
n

1
5
n
2
n
2
+ 3
are absolutely convergent.
1.
neither of them
2.
both of them
3.
A only
4.
B only
005
10.0points
Determine which, if any, of the series
cadena (jc59484) – HW13 – lawn – (55930)
2
A.
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 Fall '11
 Gramlich
 Accounting, Mathematical Series, 2 m, Radius of convergence