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Mathematics
Problem
Explain why the slope of the secant line through
(
a
,
f
(
a
)
)
(a,f(a))
(
a
,
f
(
a
))
and
(
a
+
h
,
f
(
a
+
h
)
)
(a+h,f(a+h))
(
a
+
h
,
f
(
a
+
h
))
approaches the slope of the tangent line to the graph of
f
f
f
at
x
=
a
x=a
x
=
a
as
h
h
h
approaches
0
0
0
.
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