4. Let X be a metric space. Show that if every continuous function f : X → Ris bounded, then X is compact.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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4. Let X be a metric space. Show that if every continuous function f X → Ris
bounded, then X is compact.
Transcribed Image Text:4. Let X be a metric space. Show that if every continuous function f X → Ris bounded, then X is compact.
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