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Mathematics
Mathematics
Problem
Let
P
2
(
x
)
P_{2}(x)
P
2
(
x
)
be the second-degree Taylor polynomial for
ln
x
\ln x
ln
x
centered at
x
=
1
x=1
x
=
1
. Using
P
2
(
x
)
P_{2}(x)
P
2
(
x
)
, which value is the closest approximation to
ln
(
0.9
)
\ln(0.9)
ln
(
0.9
)
? a)
−
0.110
-0.110
−
0.110
b)
−
0.100
-0.100
−
0.100
c)
−
0.105
-0.105
−
0.105
d)
−
0.095
-0.095
−
0.095
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