00:01
Here, we're given the graph of a function, and we're asked to find some limits.
00:05
So first off, we want to limit as x approaches 1 from the left of my function.
00:10
So when you want to find a left -hand limit, you find the x value of 1, which is right there, and go left just a little bit.
00:17
Find your graph and go infinitely close to 1.
00:20
It doesn't matter if you ever reach it or not.
00:22
In this case, we can actually reach it because there's a closed dot.
00:25
But it really doesn't matter because the question just says, how close do we infinitely get to what value? of y.
00:31
That's two.
00:33
So the limit from the left is two.
00:36
Part b now says what's the limit from the right? that's what that plus sign means.
00:40
So for the right, you do exactly the same thing, except you go right, find your graph, and go infinitely close to one, following the graph.
00:47
Well, in this case, we're going to get a different y value.
00:49
We're going to get up here at three.
00:52
We can't actually reach the value this time, but that doesn't make any difference for a limit.
00:57
Then part c says, what is the limit as x approaches one? no right or left...