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Mathematics
Mathematics
Problem
Let
f
f
f
be defined by
f
(
x
)
=
{
3
x
+
1
,
x
<
2
x
2
−
1
,
x
≥
2.
f(x)=\begin{cases}3x+1,& x<2\\ x^{2}-1,& x\ge 2.\end{cases}
f
(
x
)
=
{
3
x
+
1
,
x
2
−
1
,
x
<
2
x
≥
2.
Determine
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\to2}f(x)
x
→
2
lim
f
(
x
)
, or state that the limit does not exist.
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