00:01
Let's use the ratio test to show that this series diverges.
00:07
So here, this is our a -n, and the ratio test requires that we look at the limit.
00:30
N goes to infinity, absolute value, a -n plus 1 over a -n.
00:42
So let's evaluate this limit.
00:50
Here, we don't even have to bother writing the negative 1 because we're taking absolute value.
00:57
So we have 3n plus 1, 2 n plus 1, and then, so this is a .n plus 1 up here.
01:21
Then in the denominator we have a.
01:24
Alright, so now let's go ahead and write this as a product.
01:47
So 3n plus 1, 2n, n cubed, 3n, 2n plus 1, and then n plus 1, and then n plus 1 cubed.
02:06
Now let's go ahead and divide as much as we can and then also take the limit...
