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Mathematics
Mathematics
Problem
Let
g
g
g
be a continuously differentiable function with
g
(
1
)
=
6
g(1) = 6
g
(
1
)
=
6
and
g
′
(
1
)
=
3
g'(1) = 3
g
′
(
1
)
=
3
. What is
lim
x
→
1
∫
1
x
g
(
t
)
d
t
g
(
x
)
−
6
\lim_{x \to 1} \frac{\int_{1}^{x} g(t) dt}{g(x) - 6}
lim
x
→
1
g
(
x
)
−
6
∫
1
x
g
(
t
)
d
t
?
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