Answer
There is no absolute minimum.
The absolute maximum is $f(2) = ln~2$
There is no local minimum.
There is no local maximum.
Work Step by Step
$f(x) = ln~x,~~~~~~$ $0 \lt x \leq 2$
There is no absolute minimum.
The absolute maximum is $f(2) = ln~2$
There is no local minimum.
There is no local maximum.