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Mathematics
Mathematics
Problem
Which of the following limits represents
f
′
(
x
)
f'(x)
f
′
(
x
)
, the derivative of
f
f
f
at the point
x
x
x
? a)
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
x
\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(x)}{x}
h
→
0
lim
x
f
(
x
+
h
)
−
f
(
x
)
b)
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(x)}{h}
h
→
0
lim
h
f
(
x
+
h
)
−
f
(
x
)
c)
lim
h
→
0
f
(
x
+
h
)
−
f
(
h
)
h
\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(h)}{h}
h
→
0
lim
h
f
(
x
+
h
)
−
f
(
h
)
d)
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
−
h
)
h
\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(x-h)}{h}
h
→
0
lim
h
f
(
x
+
h
)
−
f
(
x
−
h
)
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