AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
of 20
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For
h
(
x
)
=
cos
(
x
)
h(x)=\cos(x)
h
(
x
)
=
cos
(
x
)
, what is the Maclaurin series representation of
h
(
x
)
h(x)
h
(
x
)
?
A
∑
n
=
0
∞
(
−
1
)
n
x
2
n
(
2
n
)
!
\sum_{n=0}^{\infty}(-1)^n\dfrac{x^{2n}}{(2n)!}
∑
n
=
0
∞
(
−
1
)
n
(
2
n
)!
x
2
n
B
∑
n
=
0
∞
(
−
1
)
n
x
2
n
+
1
(
2
n
+
1
)
!
\sum_{n=0}^{\infty}(-1)^n\dfrac{x^{2n+1}}{(2n+1)!}
∑
n
=
0
∞
(
−
1
)
n
(
2
n
+
1
)!
x
2
n
+
1
C
∑
n
=
0
∞
(
−
1
)
n
+
1
x
2
n
(
2
n
)
!
\sum_{n=0}^{\infty}(-1)^{n+1}\dfrac{x^{2n}}{(2n)!}
∑
n
=
0
∞
(
−
1
)
n
+
1
(
2
n
)!
x
2
n
D
∑
n
=
0
∞
x
2
n
(
2
n
+
1
)
!
\sum_{n=0}^{\infty}\dfrac{x^{2n}}{(2n+1)!}
∑
n
=
0
∞
(
2
n
+
1
)!
x
2
n
E
∑
n
=
0
∞
(
−
1
)
n
x
2
n
n
!
\sum_{n=0}^{\infty}(-1)^n\dfrac{x^{2n}}{n!}
∑
n
=
0
∞
(
−
1
)
n
n
!
x
2
n
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