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Mathematics
Problem
Let
g
g
g
be a function with a Maclaurin series that converges for
∣
x
∣
<
R
|x|<R
∣
x
∣
<
R
and has coefficient
c
c
c
of
x
4
x^{4}
x
4
. Given that
g
(
4
)
(
0
)
=
60
g^{(4)}(0)=60
g
(
4
)
(
0
)
=
60
, which of the following must be true about
c
c
c
? a)
c
=
60
4
!
c=\dfrac{60}{4!}
c
=
4
!
60
b)
c
=
60
c=60
c
=
60
c)
c
=
60
4
c=\dfrac{60}{4}
c
=
4
60
d)
c
=
60
3
!
c=\dfrac{60}{3!}
c
=
3
!
60
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