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JEEMAIN-2016
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Q)
If
f
(
x
)
is a differentiable function in the interval
(
0
,
∞
)
such that
f
(
1
)
=
1
and
lim
t
→
x
t
2
f
(
x
)
−
x
2
f
(
t
)
t
−
x
=
1
fopr each
x
>
0
then
f
(
3
2
)
is equal to :
(
1
)
13
6
(
2
)
23
18
(
3
)
25
9
(
4
)
31
18
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