The real death knell is that technological growth grows with population, which means that until some kind of discontinuity is hit the population won't ever be a

The real death knell is that technological growth grows with population, which means that until some kind of discontinuity is hit the population won't ever be able to hit the carrying capacity before the capacity is increased again. Is there a way to support a trillion people? I can't see one, but technological progress has been doubted before, and rarely correctly.