00:01
Here, we're given a graph of a function and we want to compute some limits.
00:05
First off, for part a, we have the limit as x approaches zero from the left.
00:09
When you take a right -hand or left -hand limit, you're first going to just find the value of zero, in this case, and then go left for a left -hand limit.
00:19
Don't go too far but a little bit.
00:20
You find your graph and follow it till it reaches the value or infinitely close to the value that we're looking for, in this case zero.
00:28
Don't worry if you can actually reach it.
00:30
For example, here we have that open circle.
00:32
I don't care.
00:33
I get infinitely close to zero.
00:35
I'm going to get infinitely close to negative 1.
00:39
So that's the value of the limit.
00:41
If i look at the right, it's exactly the same thing, except i'm going to go this way.
00:45
This time i'm going to get infinitely close to three.
00:49
So if i want to look at the overall limit, that means what is the left and right limit? and do they agree? well, they don't agree, so it does not exist...