As long as productivity grows faster than population, there's effectively no end to how much population can grow. You might argue that productivity gains will stop at some point, but then you need to provide arguments for that, not take as a given that there is a limit.

People's preferences for family size in a developed world seems to be providing a much more tangible limit to population growth than resources. People simply don't want to have as many children as it takes to substantially grow population when they're rich enough.