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Mathematics
Problem
Explain in one or two sentences why the value of
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
\displaystyle \lim_{h\to 0}\frac{f(a+h)-f(a)}{h}
h
→
0
lim
h
f
(
a
+
h
)
−
f
(
a
)
is interpreted as the slope of the tangent to the curve
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at
x
=
a
x=a
x
=
a
.
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