00:01
Let's determine the limits in parts a through d using the graph of f of x.
00:06
So first let's do this part a.
00:08
Here we have to determine limit of f of x when x approaches negative 2.
00:13
So observe this graph of f of x, when x approaches negative 2 from the left, f of x approaches 1 here.
00:22
This is when x approaches negative 2 from the left.
00:26
And when x approaches negative 2 from the right it is still approaching f of x is approaching 1 and so we see that the left side limit and right side limit they both approach 1 and this means the limit of f of x when x approaches negative 2 and this equals 1 now let's do part b here we determine the limit of if of x when x approaches negative 1 when x approaches negative 1 we see that when x approaches negative one from the left, if of x approaches two and when f of x when x approaches negative one from the right you see that it approaches negative one.
01:17
So here the left side limit and right side limit they are not the same because the left side limit if of x is approaching two and for the right side limit, f of x is approaching negative 1.
01:31
They are not the same and so we see that this limit when x approaches negative 1 of f of x does not exist.
01:42
Now let's do part c...