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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

3 votes
2 answers
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Can every real function be approximated with a Riemann-integrable one with any precision req...

Is there some proof that Riemann-integrable functions are dense in the space of all real functions? In a sense that for every real function $f$ and number $\varepsilon>0$, there is Riemann-integrable …
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