- #1

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## Main Question or Discussion Point

How do I prove that when a function f is continuous on a closed bounded interval [a,b], it is uniformly continuous on that interval?

Actually, I have found some proofs to this but I have not tackled about compact, Heine-Borel theorem, metric spaces, sequences and series, etc. in my class..

Actually, I have found some proofs to this but I have not tackled about compact, Heine-Borel theorem, metric spaces, sequences and series, etc. in my class..