Consider the set A = {x : x N, y E N} = {1,2, 2, 23,...

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Consider the set A = {x\ : x €N, y E N} = {1,2, 2², 23, 2ª, ..., 3, 3², 3³, 34, ., 4, 42, 43, 4ª, ...} Is A countably infinite? If yes, produce an enumeration of A. If no, explain why A is not countably infinite. Consider the set A = {x\ : x €N, y E N} = {1,2, 2², 23, 2ª, ..., 3, 3², 3³, 34, ., 4, 42, 43, 4ª, ...} Is A countably infinite? If yes, produce an enumeration of A. If no, explain why A is not countably infinite.