00:01
All right, on number 63 in section 2 .2, they give us this situation, and they want us to evaluate what f of x is.
00:08
Really, what they're setting up here is a really cool thing that allows us to determine what f of x is in.
00:13
You can't really put in zero for x there because that's not how limits work.
00:17
But we do know that as a limit of x approaches zero, we can put it into these ones and evaluate them.
00:23
Right.
00:23
So if we take this side, we can go ahead and put in zero because it's like minus zero squared times two.
00:31
Right? and we know that over here we can simplify this one a similar way and just end up with this a fair to five as well.
00:36
So these are actually equal to one another as that approaches zero.
00:41
I'm trying to get the same so you can tell what i'm talking about.
00:43
So if the value of f of x is always between these two and the limit as it approaches zero, they both go to the square root of five that has no choice but to be the square root of five, right? so, right? f of x is, you know, got to be equal to zero, to square to five at zero...