00:01
Here we're given a function, graphically, i'm going to sketch it out here just a little bit there, and we're told that the limit as x approaches 2 of f of x is equal to 2.
00:11
We want to find a value of delta that satisfies the statement.
00:15
Well this statement basically has to be satisfied for some value, for any given value of this epsilon, which is currently 1.
00:24
So we know there has to be a delta.
00:26
So i'm just going to go ahead and say, okay, here's 2, that's 2.
00:30
So what we need to do basically is say, okay, let's change by 1.
00:34
Let's go by 1.
00:35
So if i come over here, and come down here, come over here, and come down here, and then look at the graph.
00:41
So if i change by 1, that means this value is going to be a little bit bigger than 1.
00:46
Let's say, i don't know, 1 .5 or something.
00:48
It's hard to see exactly on the graph, but it's okay, we don't really need to...