# Real Analysis : Cauchy Sequences

Give an example of each of the following or argue that such a request is impossible:

1) A Cauchy sequence that is not monotone.

2) A monotone sequence that is not Cauchy.

3) A Cauchy sequence with a divergent subsequence.

4) An unbounded sequence containing a subsequence that is Cauchy.

https://brainmass.com/math/real-analysis/real-analysis-cauchy-sequences-26067

#### Solution Summary

Cauchy sequences are analyzed. The solution is well presented.

$2.19