  We have introduced an improved exponential GUP, derived the maximally
localized states, calculated quantum corrections to the thermodynamic
quantities of the Schwardzschild black hole in our previous work. In this paper
we continue to investigate how the maximally localized states and thermodynamic
quantities such as Hawking temperature, the entropy, the heat capacity, the
evaporation rate, and the decay time change in the extreme case that the
integer n in our GUP rises to infinity.
