Show that in the limit q → 1 the Tsallis entropy in Eq. (9.36) becomes equal to the entropy in Eq. (9.31). And show that in the same limit the q-exponential in Eq. (9.38) becomes an ordinary exponential. l’Hôspital’s rule may be helpful and recall that lim_κ→∞(1 + x/κ)^κ = exp x.

Eq. (9.36)

Eq. (9.31)

Eq. (9.38)

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Sq 1- W P 1 - 9-1