tim89 – Homework 13 – Cepparo – (58400)
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001
10.0 points
Determine whether the series
∞
summationdisplay
k
=1
(

1)
k

1
sin
parenleftBig
1
3
k
parenrightBig
is absolutely convergent, conditionally con
vergent or divergent.
1.
conditionally convergent
2.
series is divergent
3.
absolutely convergent
002
10.0 points
Determine whether the series
∞
summationdisplay
m
=1
(

3)
m
+1
2
4
m
is absolutely convergent, conditionally con
vergent or divergent.
1.
conditionally convergent
2.
divergent
3.
absolutely convergent
003
10.0 points
Determine whether the series
∞
summationdisplay
n
=1
2
e

5
n
n
!
is absolutely convergent, conditionally con
vergent, or divergent.
1.
absolutely convergent
2.
divergent
3.
conditionally convergent
004
10.0 points
Determine whether the series
∞
summationdisplay
m
=4
5
m
(ln
m
)
6
converges or diverges.
1.
converges
2.
diverges
005
10.0 points
Determine whether the series
∞
summationdisplay
n
=1
5
n
n
2
n
!
converges or diverges.
1.
diverges
2.
converges
006
10.0 points
Find the interval of convergence of the
power series
∞
summationdisplay
n
=1
4
x
n
√
n
.
1.
interval of cgce = (

1
,
1]
2.
interval of cgce = (

4
,
4)
3.
interval of cgce = (

4
,
4]
4.
interval of cgce = [

1
,
1]
5.
interval of cgce = (

1
,
1)
6.
interval of cgce = [

4
,
4)
tim89 – Homework 13 – Cepparo – (58400)
2
7.
interval of cgce = [

4
, ,
4]
8.
interval of cgce = [

1
,
1)
007
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 Fall '08
 Cepparo
 Power Series, Mathematical Series, Radius of convergence