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Problem
Problem
If
lim
x
→
0
(
1
+
a
x
+
b
x
2
)
2
/
x
=
e
3
\lim_{x \to 0} (1 + ax + bx^2)^{2/x} = e^3
lim
x
→
0
(
1
+
a
x
+
b
x
2
)
2/
x
=
e
3
, the value of
a
a
a
and
b
b
b
are a.
a
=
3
2
,
b
∈
R
a = \frac{3}{2}, b \in \mathbb{R}
a
=
2
3
,
b
∈
R
b.
a
=
1
2
,
b
∈
R
a = \frac{1}{2}, b \in \mathbb{R}
a
=
2
1
,
b
∈
R
c.
a
∈
R
,
b
∈
R
a \in \mathbb{R}, b \in \mathbb{R}
a
∈
R
,
b
∈
R
d. None of these
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