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Mathematics
Problem
At a point
x
=
2
x=2
x
=
2
for a twice-differentiable function
f
f
f
, you know
f
′
′
(
2
)
>
0
f''(2)>0
f
′′
(
2
)
>
0
. For small positive values of
h
h
h
, will the tangent-line approximation at
x
=
2
x=2
x
=
2
give an overestimate or an underestimate for
f
(
2
+
h
)
f(2+h)
f
(
2
+
h
)
? Give a brief reason.
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