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Mathematics
Problem
A function
p
p
p
satisfies
p
(
3
)
=
7
p(3)=7
p
(
3
)
=
7
,
(
limit of
p
(
x
)
as
x
→
3
−
)
=
2
\bigl(\text{limit of }p(x) \text{ as } x\to3^{-}\bigr)=2
(
limit of
p
(
x
)
as
x
→
3
−
)
=
2
, and
(
limit of
p
(
x
)
as
x
→
3
+
)
=
2
\bigl(\text{limit of }p(x) \text{ as } x\to3^{+}\bigr)=2
(
limit of
p
(
x
)
as
x
→
3
+
)
=
2
. Identify the type of discontinuity at
x
=
3
x=3
x
=
3
and briefly explain your reasoning.
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