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]    
    
    
        
    
    
    
        
        
                    
         
        
            
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