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- Dec 19th 2009, 11:09 AMflower3cts fnc on a closed interval
- Dec 19th 2009, 11:21 AMPlato
- Dec 19th 2009, 11:24 AMtonio
- Dec 19th 2009, 10:31 PMDrexel28
- Dec 19th 2009, 10:37 PMDrexel28
Alternatively to

**tonio**'s and most likely what**Plato**was hinting at. Since is closed and bounded (compact) and is continuous we have it that is closed and bounded (compact). Thus, exists and is in . Now since it follows that , but by the Archimedean principle we know there exists some such that , and the conclusion follows.