a=2
- We need to find a point a where limx→ag(x) exists, but g(a) is not defined.
- From the graph, at x=4, the function has a hole, meaning the limit exists as the left-hand limit and right-hand limit are equal, but g(4) is not defined.
a=4
- We need to find a point a where limx→a−g(x) and limx→a+g(x) both exist, but limx→ag(x) does not exist.
- From the graph, at x=2, the left-hand limit and right-hand limit exist but are not equal, so the overall limit does not exist.
Smaller value a=2
Larger value a=2