Differentiable Function with Limit (Jee Mains) | ExamDuo
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First Order Differential Equations
Medium
Differentiable Function with Limit
Let
α
be a non-zero real number. Suppose
f
:
R
⟶
R
is a differentiable function such that
f
(
0
)
=
2
and
lim
x
⟶
−
∞
f
(
x
)
=
1
. If
f
′
(
x
)
=
α
f
(
x
)
+
3
, for all
x
∈
R
, then
f
(
−
log
e
2
)
is equal to
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