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Mathematics
Mathematics
Problem
The value of
lim
x
→
0
(
(
tan
x
)
1
sin
x
+
sin
2
x
+
2
tan
−
1
(
3
x
)
+
3
x
2
ln
(
1
+
3
x
+
sin
2
x
)
+
x
e
x
)
\lim_{x \rightarrow 0} \left( (\tan x)^{\frac{1}{\sin x}} + \frac{\sin 2x + 2 \tan^{-1}(3x) + 3x^2}{\ln(1 + 3x + \sin^2 x) + xe^x} \right)
x
→
0
lim
(
(
tan
x
)
s
i
n
x
1
+
ln
(
1
+
3
x
+
sin
2
x
)
+
x
e
x
sin
2
x
+
2
tan
−
1
(
3
x
)
+
3
x
2
)
is equal to (a)
−
1
-1
−
1
(b)
2
2
2
(c)
1
1
1
(d)
−
2
-2
−
2
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