If anyone can help me with this problem, would be greatly appreciated.

Let b be with b > 0 . Show that there exists a Cauchy sequence of Rational numbers { } with such that > 0 for all n of N and that

Printable View

- October 8th 2008, 11:12 AMCatoCauchy sequence, help plz
If anyone can help me with this problem, would be greatly appreciated.

Let b be with b > 0 . Show that there exists a Cauchy sequence of Rational numbers { } with such that > 0 for all n of N and that - October 8th 2008, 11:20 AMThePerfectHacker
- October 8th 2008, 11:26 AMCato
But it says b is a real number, not rational.

- October 8th 2008, 11:32 AMThePerfectHacker
- October 8th 2008, 11:36 AMPlato
**Between any two numbers there is a rational number.**

.

Now it is easy to see that .

Any convergent sequence is a Cauchy sequence. - October 8th 2008, 11:44 AMCato
Thank you both for the quick replies