Continuity and Compactness on R (Part 1) | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU VIDEO
In this video, we prove that if f: A $\rightarrow$ R is continuous with A being compact, then the function f is bounded. This covers first half of the proof of the statement "continuous image of a compact set is compact". The method used here, however, should NOT be replicated for general metric spaces.
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