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2. Let f: NZ be the function defined piecewise during February 22 lecture. Using rigorous mathemat- ical argumentation, show that function f is surjective. Conclude

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2. Let f: NZ be the function defined piecewise during February 22 lecture. Using rigorous mathemat- ical argumentation, show that function f is surjective. Conclude that the set Z of integers is countable according to the definition of countability stated during February 22 lecture

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