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Mathematics
Problem
A function
g
g
g
satisfies
lim
x
→
2
−
g
(
x
)
=
5
\displaystyle\lim_{x\to2^-}g(x)=5
x
→
2
−
lim
g
(
x
)
=
5
and
lim
x
→
2
+
g
(
x
)
=
7
\displaystyle\lim_{x\to2^+}g(x)=7
x
→
2
+
lim
g
(
x
)
=
7
. Explain why the discontinuity of
g
g
g
at
x
=
2
x=2
x
=
2
is classified as a jump discontinuity.
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