00:01
Here we're given a limit that we want to compute.
00:03
In this case we have the limit as x approaches 0 of 7x divided by the square root of 5x plus 64 minus 8.
00:12
The first step we always want to do is plug it in and see what we get.
00:16
In this case we're just going to get 0 divided by 0 which means to do more work.
00:21
So i won't even write that but it is very important you actually do it.
00:24
So let's take this and multiply by the conjugate because i have a square root in the denominator.
00:30
So i'm going to multiply by the square root of 5x plus 64 minus 8.
00:35
But i have to do the same thing on top and bottom, so 5x minus 64 minus 8.
00:41
So i end up with the limit as x approaches 0 of, we have 7x times that conjugate.
00:47
Whatever it is, it's kind of just a nasty thing.
00:49
We made the numerator much worse...