Does the biosphere have infinite resources and are they infinitely renewable?
Does biomass represent all of the resources of the biosphere and therefore it would be theoretically infinitely renewable (as long as we have the sun) since all the biomass is part of the carbon cycle?
Also, should I consider resources like gold to be part of the biosphere and therefore all the resources would not be infinite nor infinitely renewable?
You are right in that biomass can be recycled as often as necessary as long as there is an energy source. Even gold could be recycled, though it would be hard. There are trace amounts of gold pretty much everywhere and life is pretty good at getting what it needs.