Wherein we see that continuous functions send compact subsets of their domain to compact subsets of their range, another calculus-theorem tease... See the playlist: http://matthematics.com/real
0:00 Introduction
2:08 Recall: Definition(s) of Compact Set
4:34 Must Inverse Images of Compact Sets Be Compact? (No.)
5:46 Statement: If K is Compact Then f(K) is Compact
7:24 Proof of Main Result
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402.4Y1 Continuous Functions and Compact Sets | NatokHD