00:01
In this problem we have been given a graph and we need to determine the limits.
00:06
So first of all we want to determine the limit as x tends to negative 4 of f of x.
00:12
So for that purpose have a look at the graph and see which value the graph approaches as x approaches negative 4 from both the left and the right.
00:23
And we can see that x approaches, f of x approaches negative 12 as x approaches negative 4.
00:30
So our limit will be negative 12.
00:32
And next we want to find the limit as x tends to 0 plus of f of x.
00:36
So it's 0 plus meaning that we need to consider that x approaches 0 from the right.
00:41
And as x approaches 0 from the right we can see that the graph just moves upward so the limit, required limit will be positive infinity.
00:49
Next we want to find the limit as x tends to 0 minus of f of x.
00:53
It's 0 minus so x approaches 0 from the left.
00:55
And we can see that as x approaches 0 from the left the graph just goes downwards and so the limit is negative infinity.
01:04
And next we want to find the value of the limit as x tends to 0 of f of x...