  Bento \textit{et al.} [Phys. Rev. E 91, 022105 (2015)] state that the Tsallis
entropy violates the third law of thermodynamics for $q \leq 0$ and $0<q<1$. We
show that their results are valid only for $q \geq 1$, since there is no
distribution maximizing the Tsallis entropy for the intervals $q \leq 0$ and
$0<q<1$ compatible with the system energy expression.
