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Mathematics
Problem
Explain in one or two sentences why the slope of the secant line joining the points
(
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 to the curve
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at
x
=
a
x=a
x
=
a
as
h
h
h
tends to
0
0
0
.
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