Limit and Function Value Evaluation (Jee Mains) | ExamDuo
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First Order Differential Equations
Hard
Limit and Function Value Evaluation
Let
f
be 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
for each
x
>
0
. Then
2
f
(
2
)
+
3
f
(
3
)
is equal to _______.
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