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

f:(0,1]->R be a continuous function. Is it possible that f does not have an absolute min or max. Give counter examples

2. Relevant equations

3. The attempt at a solution

Since f is partially bounded, if I break the interval down into smaller sub intervals, each will have an abs min and max. So I will have at least one of the extremes.

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# Homework Help: Continuous function on intervals

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