AP Calculus BC Quiz
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INFINITE SEQUENCES AND SERIES
Question 1
of 20
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Let
f
(
x
)
=
ln
x
f(x)=\ln x
f
(
x
)
=
ln
x
. What is the degree-3 Taylor polynomial centered at
x
=
1
x=1
x
=
1
?
A
(
x
−
1
)
−
(
x
−
1
)
2
2
+
(
x
−
1
)
3
3
(x-1)-\frac{(x-1)^2}{2}+\frac{(x-1)^3}{3}
(
x
−
1
)
−
2
(
x
−
1
)
2
+
3
(
x
−
1
)
3
B
(
x
−
1
)
+
(
x
−
1
)
2
2
+
(
x
−
1
)
3
3
(x-1)+\frac{(x-1)^2}{2}+\frac{(x-1)^3}{3}
(
x
−
1
)
+
2
(
x
−
1
)
2
+
3
(
x
−
1
)
3
C
(
x
−
1
)
−
(
x
−
1
)
2
2
−
(
x
−
1
)
3
3
(x-1)-\frac{(x-1)^2}{2}-\frac{(x-1)^3}{3}
(
x
−
1
)
−
2
(
x
−
1
)
2
−
3
(
x
−
1
)
3
D
1
+
(
x
−
1
)
−
(
x
−
1
)
2
2
+
(
x
−
1
)
3
3
1+(x-1)-\frac{(x-1)^2}{2}+\frac{(x-1)^3}{3}
1
+
(
x
−
1
)
−
2
(
x
−
1
)
2
+
3
(
x
−
1
)
3
E
(
x
−
1
)
−
(
x
−
1
)
2
3
+
(
x
−
1
)
3
3
(x-1)-\frac{(x-1)^2}{3}+\frac{(x-1)^3}{3}
(
x
−
1
)
−
3
(
x
−
1
)
2
+
3
(
x
−
1
)
3
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