  Previous results on Renyi and Wang's formalism of the Tsallis thermostatics
are founded by using an extensive variable z connected to the entropic
parameter q. It is shown that in the thermodynamical limit both the Tsallis and
Renyi entropies are extensive functions of state and the temperature of the
system is intensive. In this limit Wang's incomplete nonextensive statistics
resembles the Tsallis one, but the Renyi thermostatics is reduced to the usual
Boltzmann-Gibbs one. The principle of additivity and the zeroth law of
thermodynamics in the canonical ensemble are demonstrated on the particular
example of the classical ideal gas of identical particles.
