Question: Let f be a continuous function on a compact set K C. Show that f is actually uniformly continuous on K, i.e. that given any

Let f be a continuous function on a compact set K C. Show that f is actually uniformly continuous on K, i.e. that given any > 0, there exists > 0 so that |f(z) f(w)| < whenever z, w K satisfy |z w| <

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