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Mathematics
Problem
For a function
f
f
f
that is infinitely differentiable at
x
=
0
x=0
x
=
0
, its Maclaurin series can be written as
f
(
x
)
=
∑
k
=
0
∞
a
k
x
k
f(x)=\sum_{k=0}^{\infty} a_k x^k
f
(
x
)
=
∑
k
=
0
∞
a
k
x
k
. State
a
k
a_k
a
k
in terms of the
k
k
k
-th derivative of
f
f
f
evaluated at
0
0
0
.
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