00:01
Here, we're given a limit that we want to compute.
00:02
Now, the first step is always to just simply plug in infinity, plug in the limit to get what you have.
00:09
So if i plug in infinity, i'm just going to get infinity divided by infinity, which, well, that doesn't tell me much.
00:14
So what it does tell me, though, is that i should go ahead and continue on.
00:19
And i'm going to divide everything in both top and bottom by the highest power in the denominator.
00:24
In this case, that's x squared.
00:26
So i'm going to divide 2x divided by x squared, that's the x is cancelled to get 2 over x.
00:33
And then the 10 gets divided by x squared as well.
00:37
In the denominator, the 10x squared over x squared, that's just 10, minus 6 over x, because again the x cancels, and then plus 8 over x squared, because there's nothing to cancel there...