00:01
Okay, so i want to evaluate this limit if it exists.
00:04
I'm going to substitute two and see what i get.
00:09
So 2 plus 14 minus 4 over 2 squared plus 2 minus 6.
00:15
That's going to give me the square root of 16, which is 4 minus 4.
00:20
I get 0 and 0 in my denominator.
00:22
That tells me this is fixable, this problem.
00:26
So i'm going to multiply by the square root of x plus 14 plus 4.
00:32
We'll see what happens.
00:35
Can't think of much else to do because i don't have any common factors to cancel.
00:41
Now if i multiply straight across, i'm going to get x plus 14, right? the radicals are going to go away.
00:47
My outer inner terms cancel, and then i have minus 16.
00:52
And i'm just going to leave what i have in the denominator for a moment.
00:56
In situations like this, don't clean up that radical.
01:00
Just leave it alone...