Give an example of bounded sequence that does not converge.
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The most straightforward one :
Non-convergent Cauchy sequences will be bounded as well.
Originally Posted by redsoxfan325 Non-convergent Cauchy sequences will be bounded as well. For this to work you must be working in a non-complete metric space. So this isn't going to happen in
Originally Posted by putnam120 For this to work you must be working in a non-complete metric space. So this isn't going to happen in We aren't in .
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