Recent content by bballninja

I still can't come up with an answer and my presentation is at 10. So far I've been able to show that since xn→∞, then 1/xn→0. Then 1/(xn+1) < 1/xn < ε If anyone is available to help me, that would be very appreciated.

Ahh I'm so sorry haha. The instructor just emailed us that there was a typo and the ratio should actually be xn / (xn+1). This makes more sense now. Thanks for your help though

Well would I be able to claim that it is non-decreasing monotone, and show that it is bounded which implies convergence?

I'm pretty sure it's true, since each successive term of the sequence will be larger or equal to the previous, so xn/xn+1 should always be ≤ 1

The problem with your logic is that there are 9 different blue balls and you don't account for all of them being possibly drawn. My hint for you is to consider combinations, i.e. how many ways are there to choose 3 blue balls out of 9?

Homework Statement If xn-> ∞ then xn/xn+1 converges. Homework Equations The Attempt at a Solution I can see why the statement is true intuitively, but do not know how to make a rigorous proof. I have looked at the definitions of divergence/convergence but can get any ideas of...