00:01
In this question, we are given that limit x tends to infinity under root a x square plus 10 x minus b x equals to 5.
00:14
Now, this can be written as limit x tends to infinity taking x square common.
00:20
So, this will be x under root a plus 10 by x and minus b and this is equals to 5.
00:31
Now, this can be written as again limit x tends to infinity under root a plus 10 upon x upon 1 by x minus 5 and this is equals to 5.
00:47
So, this is this is equation number 1.
00:50
So, equation 1 is in 0 by 0 form if a equals to b.
01:03
So, this implies a equals to b.
01:07
It is 0 by 0 form.
01:10
So, apply l hospital rule.
01:16
So, this will be written as a limit x tends to infinity d by d x of under root a plus 10 upon x and here b is equals to a.
01:34
So, minus a and whole upon d by d x of 1 by x and this is equals to 5...