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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
2
−
9
x
−
3
,
x
≠
3
6
,
x
=
3.
f(x)=\begin{cases}\dfrac{x^{2}-9}{x-3},& x\ne 3\\6,& x=3.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
3
x
2
−
9
,
6
,
x
=
3
x
=
3.
Determine whether
f
f
f
is continuous at
x
=
3
x=3
x
=
3
.
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