00:01
In this question, we have to evaluate this limit.
00:03
So limit as extending to infinity of this function, which is under root of x squared minus 5x plus 6 minus x.
00:15
Okay.
00:16
So what we are going to do, we will rationalize it.
00:18
So this becomes limit extending to infinity under root of x square minus 5x plus 6 minus x.
00:27
And we will multiply with under root x square minus 5x plus 6 and plus x.
00:35
Okay.
00:36
So we have to divide it as well.
00:39
So we will get in the denominator x square minus 5x plus 6 plus x.
00:45
Okay.
00:46
Now this is in the form of a minus b, a plus b.
00:48
So we know that a minus b multiplied with a plus b.
00:52
It is same as a square minus b square.
00:55
So we can use this formula here.
00:58
So we get limit extending to infinity and this becomes x square minus 5x plus 6 minus x squared divided by the denominator will remain the same...
