SOLVED: Prove that every finite subset of R" is compact Show that Ap Az is compact subset of R? if and only if A,,Az are compact subsets of R Hence use induction
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SOLVED: b Let f:X,d-(X,d be a continuous function and let K C X be a compact set. Prove that f(K) is compact. [4 marks] ) Give an example of a function f:(X,d
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