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Mathematics
Problem
Let
g
(
x
)
=
sin
x
e
x
g(x)=\sin x\,e^{x}
g
(
x
)
=
sin
x
e
x
. What is the coefficient of
x
4
x^{4}
x
4
in the Maclaurin series of
g
(
x
)
g(x)
g
(
x
)
? a)
−
1
6
-\dfrac{1}{6}
−
6
1
b)
1
12
\dfrac{1}{12}
12
1
c)
0
0
0
d)
1
6
\dfrac{1}{6}
6
1
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