00:01
Okay, what is meant by the equation? the limit as f of x approaches 2 equals 5.
00:05
So let's just talk about this.
00:07
The limit as x approaches 2 of this function, whatever it is, f of x, is equal to 5.
00:14
Now this part here tells me that as x approaches 2 from the right and from the left, that should be a minus there, sorry about that, that the y value is equal to 5.
00:30
Let's draw this and see what it looks like.
00:34
This function, f of x, very twirly, whaho.
00:38
But as x approaches to the x -axis, the y -value is going to be equal to five on both the right and the left.
00:47
All this means is that from the right and from the left, the function approaches five at the function equals five, not approaches, equals five, at x.
01:01
Equals 2.
01:03
These are both headed towards the point y equals 5 at 2.
01:08
So what about the other part? is it possible for this to be true and yet f of 2 equal to 3? the answer is yes.
01:16
That's totally possible.
01:17
There could be what we call a hole here where f of 2 is actually equal to 3...