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Mathematics
Mathematics
Problem
A function
g
g
g
is defined by
g
(
x
)
=
x
g(x)=x
g
(
x
)
=
x
for
x
<
2
x<2
x
<
2
and
g
(
x
)
=
5
g(x)=5
g
(
x
)
=
5
for
x
≥
2
x\ge 2
x
≥
2
. Explain why
lim
x
→
2
g
(
x
)
\displaystyle \lim_{x\to 2} g(x)
x
→
2
lim
g
(
x
)
does not exist.
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