00:01
Here, we're given the graph of a function, we're asked to identify some limits.
00:04
First off, the limit is x approaches 1 from the left.
00:07
When you find a limit, you first want to find the x value, and then go whichever direction, in this case to the left, find your graph, and then follow it, follow the graph until you get infinitely close back to the x value, in this case 1.
00:22
So as i do that, the graph goes up here.
00:26
And as you get infinitely close to 1, not exactly equal to, but infinitely close, what happens to y.
00:32
In this case, it gets infinitely close to six.
00:35
So that's our limit.
00:37
It's whatever y gets infinitely close to.
00:39
Now, i want to know the limit as x approaches one from the right.
00:43
I'm going to do exactly the same thing, but from one, i'm going to go to the right, follow my graph, follow it back, and you see it goes to the same point of six.
00:52
Since the right and left agrees, the overall limit will be six.
00:56
Otherwise, it wouldn't exist...