]\“IATH132O: Seciuences aic1 Series Part 02
Instructor: Laura Strube
30 September 2015
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So(Ai OflS
Name and Class ID:
Determine whether each of the fo11owiig series converges or diverges. State your
clearly. Find the
reasons
suiii of any geometric series.
1.
(fl1
noQ
I(h
I —i--i---—
oo
h
b
es
b
2.
1 (n+2)
ho
1
fl
--
‘-
Z°n=1
2’+3’
4’
(Hint : Be careful here
-
—
pay attention to the indices of the suni)
9wo
(s
4V’
Ln=1
1
)
M
7. Show that this suni diverges using the divergence test:
(Hint: find the limit implicitly)
(
(1
—
“9
-
H
H
)
_
0
•
IC
—
IC
I
C
E
p
t
0
-
I
c
Q
0
(,
0
----
—j—
•
‘4
H
ri
_1c1
0
i
I
1
J
C
C
+
I
L
1’
+
4
c
1
I,
I.
.t.
3’
j
C
II
,-Th.
*
$
1i
-
1
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C
C
Ii
*
rv)
—
+
+
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it
+
D
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LI
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LI
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c,J
I
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I
H
H
D
3
4
d)
o
21
2
E)
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-
r
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I
--
d
vi
-
p
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o
-
0
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0
‘U
c:3’—°
F
1i><
(N
3
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0
s)
)
-
a
a
N
JcJ
3r
3’
J\
r
Th
()
I
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>
0
0
Q
>c
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cn
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1
t%J
><
D
>s
Ii
:5
0
ii
><
-4-
0
fr
(H15
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C
S
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-;
p
—p
y
))
0
C
0
C
CO
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cy
4
4
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4
4
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ft
4
c
II
.
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II
II
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D
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II
—
iN
ii
1
ii
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0%
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c-$.
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)<
4
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II
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c
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