So, when we have this scenario of 1/0 when you put in the limit value that means f(x) does not exist there. Either it goes to +∞ or -∞.
The negative AFTER x in the limit x--> 9- means we are only looking at x approaching 9 from the left side.
when
x=8.8 ; f(x) = 1/-0.2
x=8.9 ; f(x) = 1/-0.1
See that f(x) becomes a larger negative number the closer to x=9 we get. That means the function goes to -∞ when we approach x=9 from the left side.
Should be the last answer -∞ , 9