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Mathematics
Mathematics
Problem
Let
g
g
g
be differentiable at
x
=
2
x=2
x
=
2
with
g
(
2
)
=
5
g(2)=5
g
(
2
)
=
5
and
g
′
(
2
)
=
−
3
g'(2)=-3
g
′
(
2
)
=
−
3
. Determine
lim
x
→
2
g
(
x
)
−
5
x
−
2
\displaystyle \lim_{x\to 2} \frac{g(x)-5}{x-2}
x
→
2
lim
x
−
2
g
(
x
)
−
5
.
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