00:01
All right, so you are looking at this series right here, one over the radicals, and you're going to show that diverges by first showing that each partial sum is greater than the square root of n.
00:12
So this effect, notice the following.
00:15
So, sn, i'm going to rewrite that down here.
00:18
So sn equals 1 over square root of 1.
00:21
Notice you can write that.
00:22
It's not a problem.
00:24
Plus 1 over root 2, plus 1 over root 3, plus blah, blah, blah, blah, blah.
00:30
Plus one over root n.
00:36
Now notice that this guy right here has the biggest denominator, right? so if i replace each of the subsequent or each of the previous denominators with square root of n, i am definitely getting smaller...