Question: Help is appreciated, thank you! Recall that the indicator function of rationals is not Riemann integrable. Prove directly (by constructing appropriate partitions) that the function

Help is appreciated, thank you!

Help is appreciated, thank you! Recall that the indicator function of rationals

Recall that the indicator function of rationals is not Riemann integrable. Prove directly (by constructing appropriate partitions) that the function f given below is Riemann integrable: f : [0, 1] - R, defined as f (0) = 0, f(x) = 0 for x irrational, and for rational x = k, f(x) = 1. (Here we assume that k and n are coprimes i.e. they dont have common prime factors.)

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