AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
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A Taylor polynomial
P
5
P_5
P
5
for
p
p
p
about
0
0
0
estimates
p
(
0.1
)
p(0.1)
p
(
0.1
)
; if
∣
p
(
6
)
(
x
)
∣
≤
40
|p^{(6)}(x)|\le 40
∣
p
(
6
)
(
x
)
∣
≤
40
on
[
0
,
0.1
]
[0,0.1]
[
0
,
0.1
]
, maximum error?
A
40
(
0.1
)
6
5
!
\dfrac{40(0.1)^6}{5!}
5
!
40
(
0.1
)
6
B
40
(
0.1
)
5
6
!
\dfrac{40(0.1)^5}{6!}
6
!
40
(
0.1
)
5
C
40
(
0.1
)
6
7
!
\dfrac{40(0.1)^6}{7!}
7
!
40
(
0.1
)
6
D
40
(
0.1
)
6
6
!
\dfrac{40(0.1)^6}{6!}
6
!
40
(
0.1
)
6
E
40
(
0.1
)
6
6
\dfrac{40(0.1)^6}{6}
6
40
(
0.1
)
6
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