> if you set the junk value for a non-converging Riemann integral to the average of the lim sup and lim inf you can obliterate a huge number of integrability si

> if you set the junk value for a non-converging Riemann integral to the average of the lim sup and lim inf you can obliterate a huge number of integrability side conditions Wouldn’t this still cause problems if the lim sup is ∞ and the lim inf is -∞?