(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I want to prove that if a sequence a[n] is cauchy then a[n] is a converging sequence

2. Relevant equations

What I know is:

- a[n] is bounded
- any subsequence is bounded
- there exists a monotone subsequence
- all monotone bounded sequences converge
- there exists a convergent subsequence by the above

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# Homework Help: Prove: Cauchy sequences are converging sequences

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