Math Quiz 7

[Ether]

Originally Posted by iRobot_

I'm not familiar with your root test method Ether. When I used the root test, it was inconclusive. ie the limit for the kth root of (k/(k+3))^2k = 1

You're confusing two different series being discussed in this thread.

In the post you are referring to, I quoted and was referring to the series that Caleb mentioned in post#3:

Originally Posted by Caleb Sykes

consider the following:
sum((x/(x+3))^(x^2))

The Root Test can be used to show that Caleb's series converges.

The Root Test, however, is inconclusive for the series I posted in post#1.