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Mathematics
Mathematics
Problem
At
x
=
4
x=4
x
=
4
, a function
j
j
j
satisfies
lim
x
→
4
−
j
(
x
)
=
−
2
\displaystyle\lim_{x\to4^-} j(x)=-2
x
→
4
−
lim
j
(
x
)
=
−
2
,
lim
x
→
4
+
j
(
x
)
=
1
\displaystyle\lim_{x\to4^+} j(x)=1
x
→
4
+
lim
j
(
x
)
=
1
, and
j
(
4
)
=
1
j(4)=1
j
(
4
)
=
1
. Explain why
j
j
j
is not continuous at
x
=
4
x=4
x
=
4
and identify the type of discontinuity that occurs there.
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