Is it possible to show by induction that f:[a,b]->R, a bounded function, is Riemann integrable if f has a countable number of discontinuities? I'm told this is usually done with Lebesgue integrals, but I don't see why an inductive proof of this using Riemann/Darboux integrals can't work.(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: Riemann Integrable

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