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Mathematics
Problem
For a function
f
f
f
with Maclaurin series
f
(
x
)
=
∑
k
=
0
∞
a
k
x
k
f(x)=\displaystyle\sum_{k=0}^{\infty}a_k x^{k}
f
(
x
)
=
k
=
0
∑
∞
a
k
x
k
, which of the following expressions always equals
f
′
′
′
(
0
)
f'''(0)
f
′′′
(
0
)
? a)
3
a
3
3a_3
3
a
3
b)
6
a
3
6a_3
6
a
3
c)
24
a
4
24a_4
24
a
4
d)
a
3
a_3
a
3
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