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9) [8 Marks, 4 marks for each part] A Strange Function. Let f (x) = if x E Q, if x ER Q, x

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9) [8 Marks, 4 marks for each part] A Strange Function. Let f (x) = if x E Q, if x ER \\ Q, x is rational -0.5 0.5 x is irrational Given any a E R and any n E N, the Archimedean Property shows that there exists a rational number n with In # a and a - 2

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