Let's say that f of x is equal to x squared plus x minus 6 over x minus 2. And we're curious about what the limit of f of x as x approaches 2 is equal to. Now, the first attempt that you might want to do right when you see something like this is to see what happens. What is f of 2? Now, this won't always be the limit even if it's defined, but it's a good place to start just to see if something reasonable could pop out. So looking at it this way, if we just evaluate f of 2, on our numerator we're going to get 2 squared plus 2 minus 6. So that's going to be 4 plus 2, which is 6, minus 6.