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Mathematics
Problem
The Maclaurin series for
sin
x
\sin x
sin
x
is
∑
k
=
0
∞
(
−
1
)
k
x
2
k
+
1
(
2
k
+
1
)
!
\displaystyle \sum_{k=0}^{\infty}(-1)^k\dfrac{x^{2k+1}}{(2k+1)!}
k
=
0
∑
∞
(
−
1
)
k
(
2
k
+
1
)!
x
2
k
+
1
. Write the Maclaurin series for
cos
x
\cos x
cos
x
and list its first four nonzero terms.
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