00:01
For this problem, you're given a table of values and you are asked to find the limit as x approaches two of that given function.
00:15
All right, so what we need to do is substitute in the values and let's see what happens.
00:21
All right, so we will have f of 2 minus 2 squared over g of 2 squared minus 2.
00:34
So when we use g of 2, we're going to get 4.
00:42
So we will have 4 minus 4 in the numerator over.
00:48
All right, that's going to be g of 4, and g of 4 is equal to 0.
00:56
All right, so it looks like we have a problem here.
00:58
We have 0 over 0, and that is one of our indeterminate forms.
01:13
So you will need to use lopital's rule for this.
01:18
All right.
01:31
So for lopitals rule, if we have an indeterminate form and we have a fraction, we can do the limit of the numerator.
01:45
So the limit of the numerator or the derivative of the numerator and the derivative of the denominator...