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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
ln
x
h(x)=\ln x
h
(
x
)
=
ln
x
. A student uses the tangent line at
x
=
1
x=1
x
=
1
to approximate
h
(
1.05
)
h(1.05)
h
(
1.05
)
. What is the absolute error of this approximation, rounded to four decimal places? a)
0.0248
0.0248
0.0248
b)
0.0012
0.0012
0.0012
c)
0.0024
0.0024
0.0024
d)
0.0013
0.0013
0.0013
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