00:01
So this is going to be a desmos activity.
00:04
We'll just look at the graph and be able to determine what the limits are based on what we see.
00:10
So in this case, we first want to, we just want to answer the question, which set of limits are true for the graph of f of x equals the natural log of x.
00:26
So if we consider what the natural log of x function looks like, if we can picture it, or you could actually just graph it yourself.
00:34
And see, it's going to look like this.
00:35
Like most log functions, it'll have this kind of general shape to it.
00:41
So we see which of these are true.
00:43
Well, the first one is the limit as x approaches zero equals negative infinity, and the limit as x approaches infinity is positive infinity.
00:51
So that's sort of true.
00:52
The only issue is we can't really say the limit as x approaches zero, because that implies a left and right -hand side approach.
00:59
There is no left -hand side approach to the natural log of x function, though, it's only approaching from the right.
01:04
So let's look at the second one...