00:01
Okay, so we want to find a limit of this expression as h approaches zero.
00:05
The first thing that we are going to do is do the negative 5 plus h squared using oil.
00:11
So we're really taking the limit as h approaches zero of, well, negative 5 plus h to the second.
00:23
If you multiplied it out negative 5 plus h times negative 5 plus h, you're going to get a positive 25 plus 5 plus h, plus an h squared minus a 10h.
00:44
So negative 5 plus h squared is 25 plus h squared minus 10 h.
00:51
And then we still have to subtract this 25, and all that gets divided by h.
01:20
So the limit of this expression as h approaches 0 is equal to the limit of this expression as h approaches 0.
01:27
You can see we can do a little simplifying, 25 minus 25 cancels.
01:35
And so we end up with the limit as h approaches 0 of h squared minus 10h over h...