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IIT JEE Advanced 2010 Paper 1
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© examsnet.com
Question : 60
Total: 84
The value of
lim
x
→
0
1
x
3
x
∫
0
t
l
n
(
1
+
t
)
t
4
+
4
d
t
is
0
1
12
1
24
1
64
Validate
Solution:
We have
lim
x
→
0
1
x
3
x
∫
0
l
n
(
1
+
t
)
t
4
+
4
=
lim
x
→
0
x
l
n
(
1
+
x
)
(
x
4
+
4
)
3
x
2
=
lim
x
→
0
1
3
l
n
(
1
+
x
)
x
(
x
4
+
4
)
=
1
12
© examsnet.com
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