00:02
Here, we're given f of x piecewise defined, and we're asked to compute some limits.
00:07
First, we're asked for the limit as x approaches zero from the right of f of x.
00:12
Now, from the right means x is a little bit bigger than zero.
00:17
So that means we're going to use this function.
00:20
So that's going to be the limit as x approaches zero, and i'm just going to drop the from the right because it doesn't matter, of 4x minus 2.
00:28
Because that's the function we're using.
00:30
If x is just a little bit bigger than zero.
00:34
And i can just plug in zero, and i get 4 times 0 minus 2 is negative 2.
00:41
Next, we want to find the limit as x approaches 0 of f of x.
00:49
But to do that, we first need to find, what is the limit as x approaches 0 from the left? well, from the left, we're going to use this equation.
00:59
And if i plug in zero there, i'm going to get 0.
01:02
And that doesn't agree with the negative 2...