00:01
Here we have a limit that we want to compute.
00:02
We have the limit as x approaches negative 7 of 4x plus 28 all over x squared minus x minus 56.
00:14
Now the first step whenever you want to compute a limit, i don't care what it is, the first step always, you just plug it in and see what you get.
00:20
If you get a number, you're done, and that's the answer.
00:22
So if i plug in negative 7, i would get negative 28 plus 28 is 0, divided by 49 plus 7 minus 56, that's also 0.
00:32
If you get 0 divided by 0, what that means is do more work.
00:36
The answer probably exists, probably, not necessarily, but we don't know what it is yet.
00:41
So in this case, that new work is, let's take the limit as x approaches negative 7, a factor everything.
00:47
And i would use it as a hint that there's going to be a factor of x plus 7 in both because we got 0...