Question: Let S C R be a set= and suppose E C S is a subset such that every 1 E S is a cluster point

Let S C R be a set= and suppose E C S is a subset such that every 1 E S is a cluster point of E. Let f= g : S > R be continuous functions satisfying f(1) = 9(1) for all 1 E E. Show that f(1') = 9(1) for all 1 E 3. (Remark: This problem has to do with \"continuous extensions\

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