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Mathematics
Mathematics
Problem
Which of the following limits correctly gives the derivative of a function
f
f
f
at the point
x
=
a
x=a
x
=
a
? a)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
−
h
)
h
\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a-h)}{h}
h
→
0
lim
h
f
(
a
+
h
)
−
f
(
a
−
h
)
b)
lim
h
→
0
f
(
a
)
−
f
(
a
+
h
)
h
\displaystyle \lim_{h\to 0}\dfrac{f(a)-f(a+h)}{h}
h
→
0
lim
h
f
(
a
)
−
f
(
a
+
h
)
c)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h}
h
→
0
lim
h
f
(
a
+
h
)
−
f
(
a
)
d)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
2
\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h^{2}}
h
→
0
lim
h
2
f
(
a
+
h
)
−
f
(
a
)
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