Answer:
the second option
Explanation:
the limit coming to x = 4 from the left (the '-' side) is -4.
the limit coming to x = 4 from the right (the '+' side) is 2.
it does not matter that the point itself is excluded. but the tendency of the function coming from the right is clear and defined.
the one-sided limit would not exist, if the function violently oscillates at the limit point.
or if the limit is infinite. then officially it does not exist, but we can write ±infinite.
for the case of the violent oscillation there is nothing else we can write but DNE.