klingemann (bmk695) – HW14 – schultz – (53140)
1
This
printout
should
have
19
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001(part1of2)10.0points
For the series
∞
summationdisplay
n
=1
(

1)
n
n
+ 5
x
n
,
(i) determine its radius of convergence,
R
.
(ii) Determine the interval of convergence
of the series.
1.
R
= 1
2.
R
=
∞
3.
R
= 0
4.
R
=
1
4
5.
R
= 4
klingemann (bmk695) – HW14 – schultz – (53140)
2
5.
1
,
7
3
006
10.0points
Determine the interval of convergence of
the infinite series
∞
summationdisplay
k
=0
(

1)
k
(
k
+ 1)!
parenleftbigg
parenrightbigg