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Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
{
x
2
−
4
x
−
2
,
x
<
2
,
x
+
2
,
x
>
2.
f(x)=\begin{cases}\dfrac{x^{2}-4}{x-2},& x<2,\\x+2,& x>2.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
x
+
2
,
x
<
2
,
x
>
2.
Find
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\to2}f(x)
x
→
2
lim
f
(
x
)
. a) Does not exist b)
0
0
0
c)
4
4
4
d)
6
6
6
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