I see, so I should go for the proof by contradiction method? Could you start me off on how to show that the points are the same? I'm having a lot of difficulty with this one.
I see, so I should go for the proof by contradiction method? Could you start me off on how to show that the points are the same? I'm having a lot of difficulty with this one.
By all means you can use contradiction.
But, first of all how do you know the intersection is not empty?
Do you know that monotone bounded sequences converge?
Then how could there be two points in the intersection?
Can you prove that is a decreasing sequence?
Can you prove that is a increasing sequence?
Can you prove that ?
Does that mean that both sequences converge? WHY?