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

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- Oct 8th 2008, 10:12 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 - Oct 8th 2008, 10:20 AMThePerfectHacker
- Oct 8th 2008, 10:26 AMCato
But it says b is a real number, not rational.

- Oct 8th 2008, 10:32 AMThePerfectHacker
- Oct 8th 2008, 10:36 AMPlato
**Between any two numbers there is a rational number.**

.

Now it is easy to see that .

Any convergent sequence is a Cauchy sequence. - Oct 8th 2008, 10:44 AMCato
Thank you both for the quick replies