Comment on "third law of thermodynamics as a key test of generalized entropies"

Bento et al. [Phys. Rev. E 91, 022105 (2015)PLEEE81539-375510.1103/PhysRevE.91.022105] state that the Tsallis entropy violates the third law of thermodynamics for q?0 and 0<q<1. We show that their results are valid only for q?1, since there is no distribution maximizing the Tsallis entropy for the intervals q?0 and 0<q<1 compatible with the system energy expression. © 2015 American Physical Society.