00:01
So in this question we have to find the limit of this function where x stands to infinity.
00:06
So first let us recognize this, okay.
00:08
So for less analyzing this, multiply root over of x squared plus 15, root over x12 plus 15 plus x plus, plus in the numerator and denominator, okay.
00:18
So when we multiply this, this is in the form of that is a plus b into a minus b.
00:25
So a plus b into a minus b is equal to a square minus b.
00:29
So a minus b into a plus b is equal so, s -square, that is this thing whole square minus this thing whole square, that is xx minus xxxxxxxxxxxxxxxxxxx.
00:38
So this x -square -square will cancel and we'll get 15x minus 12x that is 3x by root over of sq plus 15x plus x square plus 12x root over.
00:50
So after getting this, let us divide by x in the numerator and denominator.
00:55
So in the numerator, then in the denominator also divide by x.
00:59
So we get this.
01:00
Now this xx gets cancelled...