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Mathematics
Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
{
5
,
x
≤
2
,
ln
(
x
−
2
)
,
x
>
2.
f(x)= \begin{cases} 5, & x\le 2,\\ \ln(x-2), & x>2. \end{cases}
f
(
x
)
=
{
5
,
ln
(
x
−
2
)
,
x
≤
2
,
x
>
2.
Explain why
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\to 2} f(x)
x
→
2
lim
f
(
x
)
does not exist.
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