00:02
All right, so i'm really, really hoping that my microphone is working, and i want to answer your questions.
00:10
So as i'm flipping back and forth, defining f of 1, this is the defined value on your graph at x equals 1.
00:20
So x equals 1, the defined value is at 0.
00:24
It's basically asking for the ordered pair of the y coordinate when x is 1.
00:27
Because when you look at this one's undefined value is over here at 1 negative 1 because it's an open circle.
00:37
So as we look at the limit as x approaches 1 on the left side of the function, that's where we're looking at the left side of the defined value directly to the left.
00:52
We're getting closer and closer to a y value of negative 1.
00:55
So basically this minus, i need change colors.
00:59
This minus right here is saying the left side of x equals 1.
01:08
So it's getting closer and closer to negative 1.
01:11
That's why we have that approaching.
01:13
The limit as x approaches.
01:16
Let's see.
01:17
The next one, x approaches 2 on the right side.
01:21
I'll switch back as x approaches 2 on the right side of that function.
01:29
If i continue this graph, the right side of the right side.
01:34
Of x equals two, i don't know if you can tell, happens to be where it's defined as well.
01:39
So that's also zero.
01:41
So here's your answer so far, 0 negative 1, 0.
01:46
What is f prime of e? all right, perfect.
01:50
So as we look at the next piece, prime of e, this little thing right here, f prime, is saying the slope when x equals e...
