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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
ln
x
f(x)=\ln{x}
f
(
x
)
=
ln
x
. The tangent line to
f
f
f
at
x
=
1
x=1
x
=
1
is used to approximate
f
(
1.2
)
f(1.2)
f
(
1.2
)
. Indicate whether this linear approximation is an overestimate or an underestimate of
ln
(
1.2
)
\ln(1.2)
ln
(
1.2
)
and state the reason for your conclusion.
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