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Let A be a set of all infinite sequences over {a, b, c}. Examples of infinite sequence over {a, b, c} are aaaa . .

Let A be a set of all infinite sequences over {a, b, c}. Examples of infinite sequence over {a, b, c} are aaaa . . . , ababab . . . , abcabc . . . , and ccaabbccaabb . . . . Show that the set A is uncountable using the diagonalization method.

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