Multiple choice questions, see image

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PAGE
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Series Homework
Kanisha Pandey
Math- Calculus
11/27/2012
Question 8: The series
1
1
ln
(1)
2
k
k
k
k
¥
+
=
-
å
is given and we have to check the series, which option it, matches to.
Sol. If in
1
1
(1)
k
n
k
a
¥
+
=
-
å
,
1
lim0,
nnn
k
aandaathen
+
®¥
=£
series is convergent.
To check if the series is conditional or absolute, we use integral test:
1
lim0,
b
n
b
a
®¥
ò
f
to be absolute, otherwise, conditional.
Hence, the given series converges absolutely.
Option (c)
Question 9: The series
3
1
4
1
(1)
1
k
k
k
k
¥
+
=
-
+
å
is given and we have to check the series, which option it, matches to.
Sol. Again, using the concept given in the above solution.
If...