Riemann's function with infinite points of discontinuity

This is an sketch of Riemann's example of an integrable function with infinite points of discontinuity. Of course, we cannot really draw it but at least we can have an idea of how it looks with a sufficient number of elements of the sum: [math]\sum_{k=1}^{n} \frac{(kx)}{k^2}[/math]

 

Juan Carlos Ponce Campuzano

 
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