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Mathematics
Mathematics
Problem
The graph of a function
h
h
h
contains an open circle at
(
3
,
7
)
(3,7)
(
3
,
7
)
and a solid point at
(
3
,
4
)
(3,4)
(
3
,
4
)
. For all
x
≠
3
x\neq3
x
=
3
sufficiently close to 3, the
y
y
y
-coordinates of points on the graph of
h
h
h
are within
0.01
0.01
0.01
of 7. Determine the value of
lim
x
→
3
h
(
x
)
\displaystyle \lim_{x\to3} h(x)
x
→
3
lim
h
(
x
)
and state
h
(
3
)
h(3)
h
(
3
)
.
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