00:01
Okay, so we have this graph of this function.
00:03
This is the y -axis.
00:05
This is the x -axis, and we want to find f -of -2.
00:08
The limit is x -tends to 2, 4, and 5 of this function.
00:12
Okay, so let's start with f -of -2.
00:15
So part a, f of 2.
00:17
So all we have to do is look here at the point 2 and look at the value of the graph here.
00:22
So this graph is nice and continuous everywhere except for this point 2.
00:26
And at this point 2, there's a gap here, and it jumps up to this point.
00:30
So when you look at f of 2, we're looking at this point here, and if you read across to the y axis, it's at 5.
00:36
So f of 2 is equal to 5.
00:40
For part b, we want to find the limit as x tends to 2 of f of x.
00:45
So this is slightly different.
00:46
Limit as x tends to 2 of f of x.
00:50
Okay, so you need to look from both directions.
00:52
You need to look as x tends to 2 from this direction, and as x tends to 2 from this direction...