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Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
≠
2
5
,
x
=
2
f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2}, & x\neq 2\\5, & x=2\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
5
,
x
=
2
x
=
2
Determine and classify the type of discontinuity that
f
f
f
exhibits at
x
=
2
x=2
x
=
2
.
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