1. ## Monotone Cauchy

Show that a bounded, monotone increasing sequence is cauchy.

2. Originally Posted by frenchguy87
Show that a bounded, monotone increasing sequence is cauchy.
In the reals, every bounded, monotone sequence converges. SO?

3. Sooooo i need to prove it's also cauchy! lol

4. Originally Posted by frenchguy87
Sooooo i need to prove it's also cauchy! lol
Are you admitting that you have not or cannot prove that any convergent sequence is a Cauchy sequence?

BTW. It is Cauchy with a capital C.

5. so use the fact that it's convergent to prove it's cauchy, thanks you're the best!