00:01
Hello everyone.
00:02
So today i'm going to be talking about limits and how we can use a graph to interpret what we mean precisely by the definition of the limit.
00:13
So we have the limit of f of x as x approaches a equal to l, our limit.
00:29
So we define a limit as values of x that are arbitrarily close.
00:34
To to a.
00:37
So in order to find out on what values of x close to a satisfy the function here, we can define a range epsilon for values that are close to the function at our limit.
01:01
So we can define this as f of xxelon.
01:05
Minus l less than epsilon.
01:08
So the absolute value, so the range within that is close to our limit l.
01:15
And we can use an epsilon that is close to the function to define this.
01:22
And what we're interested in is values of x that are close to a, that are within some delta and some delta close to a.
01:35
So we want to know what delta corresponds to the epsilon range.
01:43
So let's say we have a function and let's say we have a point at four or five.
01:52
So one, two, three, four, one, two, three, four, five.
01:59
And then point at one four, two, three, four.
02:06
Another point at seven, six...