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Mathematics
Mathematics
Problem
Which of the following limits equals the derivative of
ln
x
\ln x
ln
x
at
x
=
5
x=5
x
=
5
? a)
lim
h
→
0
ln
(
5
+
h
)
−
ln
5
5
h
\displaystyle \lim_{h\to 0} \dfrac{\ln(5+h)-\ln 5}{5h}
h
→
0
lim
5
h
ln
(
5
+
h
)
−
ln
5
b)
lim
h
→
0
ln
(
5
+
h
)
−
ln
5
h
\displaystyle \lim_{h\to 0} \dfrac{\ln(5+h)-\ln 5}{h}
h
→
0
lim
h
ln
(
5
+
h
)
−
ln
5
c)
lim
h
→
0
ln
(
5
h
)
−
ln
5
h
\displaystyle \lim_{h\to 0} \dfrac{\ln(5h)-\ln 5}{h}
h
→
0
lim
h
ln
(
5
h
)
−
ln
5
d)
lim
h
→
0
ln
(
5
+
h
)
h
\displaystyle \lim_{h\to 0} \dfrac{\ln(5+h)}{h}
h
→
0
lim
h
ln
(
5
+
h
)
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