00:01
We are given with limit x approaches to 8 negative square root of 64 minus x square minus square root of 8 minus x divide with 8 minus x.
00:22
We have to find its limit.
00:24
So what we do? we just open this value.
00:27
It is 64 minus x square, we can write it as 8 square minus x square.
00:34
It's a root.
00:36
Minus square root of 8 minus x over 8 minus x.
00:42
So we can take the term root of 8 minus x common.
00:46
Remaining term will be here root of 8 plus x minus 1 over 8 minus x.
00:54
So this is cancelled with this vector.
00:57
We are left with limit x approaches to 8 negative.
01:01
Here the limit term will be as it is with these all.
01:09
So we get this one.
01:12
8 plus x root of minus 1 over root of 8 minus x.
01:21
So we are using here rationalization.
01:24
We multiply it with root of 8 plus x and divide with root of 8 plus x.
01:30
We get 8 plus x minus root of 8 plus x over 8 square minus x square.
01:43
It's a square root.
01:46
Outside limit is x approaches to 8 negative...