00:01
All right, we want to see if this series will convert or not.
00:05
So first, let's just look, for example, if you had n equals 5, then the top would be 6 times 12, times 18, times 6 to 24, times 30.
00:24
And then if it was 6, then it would be 6 times 12, times 18, times 24, times 36.
00:32
So you'll have all of the ones you had before and then the next one after that.
00:38
So for n, n equals n, 6, 12, 18, all the way to 6 in.
00:48
And then for n plus 1, 6, 12, 18, 6 in, 6 in, and then 6 in plus 6.
01:00
Okay, so all of the same ones and an extra one.
01:06
So we want to take the limit as n goes to infinity, a .n plus 1 over a .n.
01:16
It's the limit as in goes to infinity.
01:20
6, 12, 18, stuff.
01:24
6n, 6 in plus 6 over n plus 1 factorial, over 612, 18, over 6 in ,000, over n factorial...
