00:01
Okay, so for this question, we're given the series and we're asked to use the integral test to study the convergence.
00:08
So when we're doing the integral test, it's important to know if the integral diverges, then the series diverges.
00:15
And if the integral converges, then the series converges.
00:18
So what is the integral test? so obviously we're going to be taking an integral of some sort, but of what? so we're going to be taking the integral of this thing.
00:28
So that's going to be e to the n over 2 plus e to the n, d, n.
00:34
What are our bounds you might ask? it will be these.
00:38
Except there is one small caveat.
00:41
We can keep the lower bound.
00:43
However, we can't have an upper bound of infinity.
00:46
This does not work...