Question: 4. Consider Dirichlet's function g(x) = { 0 if x 4 Q 1 if x Q, Q, (1) where denotes the rationals. Prove that

4. Consider Dirichlet's function g(x) = { 0 if x 4 Q 1 if x Q, Q, (1) where denotes the rationals. Prove that g is not Riemann integrable on the interval [0, 1].

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