00:01
Hello everyone, here we are having with limits and we have to evaluate the given problem.
00:06
Now let us write this as limit x tends to 2.
00:12
We shall take x cube outside so that we will be getting 1 -1 by x squared -2 by x cube divided by x into 1 -2 divided by x.
00:34
Now let us cancel the common terms so that we get 1 -1 by x squared -2 by x cube 1 -2 by x.
00:46
So let us apply limit on these values so that we get 1 -1 by 4 -2 by 8 divided by 1 -2 by 2.
01:02
So this value becomes 0.
01:05
So any number which is divided by 0 will gives infinity.
01:10
So the answer for this problem is infinity.
01:15
Coming to the second question, let us write this in the form of limit x tends to infinity.
01:22
So let us take x cube outside we will get 6 -8 by x cube divided by x power 6 let us take outside so it will be 2 -2 by x power 5 -6 by x power 6.
01:41
Now canceling out the common terms we are left out with x1 divided by x cube and let us put infinity over here...