Let A and B be compact subsets of R. (a) Show that A + B =...

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Let A and B be compact subsets of R". (a) Show that A + B = {a+b: a € A,b B} is a compact subset of R". (b) Show that A x B= {(a,b): a € A, b E B} is a compact subset of R²n. Let A and B be compact subsets of R". (a) Show that A + B = {a+b: a € A,b B} is a compact subset of R". (b) Show that A x B= {(a,b): a € A, b E B} is a compact subset of R²n.

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A set S is compact if for any sequence of elements in S you can extract a subs... View the full answer