Differentiable Function Limit Evaluation (Jee M… | ExamDuo
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First Order Differential Equations
Hard
Differentiable Function Limit Evaluation
Let
f
(
x
)
=
√
lim
r
→
x
{
2
r
2
[
(
f
(
r
)
)
2
−
f
(
x
)
f
(
r
)
]
r
2
−
x
2
−
r
3
e
f
(
r
)
r
}
be differentiable in
(
−
∞
,
0
)
∪
(
0
,
∞
)
and
f
(
1
)
=
1
. Then the value of ea, such that
f
(
a
)
=
0
, is equal to_____
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