00:01
Let's take a look at the limit as x approaches negative infinity of x to the 8th plus x to the 9th.
00:08
My first thought is that this one is going to be infinity and this one's going to be negative infinity, but this one's to a higher power, so it's a little bigger.
00:18
So i would assume this is going to take over, and i expect my answer to be negative infinity.
00:24
But boy, that was kind of iffy what i just did.
00:27
Let's see if we can prove it.
00:29
Let's see if i was actually right.
00:31
And what we can do is we can divide everything by the highest power.
00:36
So let's just divide everything by x to the ninth.
00:38
When i say everything, i'm also going to put a fraction here.
00:41
So i'm going to divide every term by x to the ninth...