2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59268Using Fourier analysis, we prove that the limiting distribution of the standardized random number of comparisons used by Quicksort to sort an array of n numbers has an everywhere positive and infinitely differentiable density f, and that each derivative f^{(k)} enjoys superpolynomial decay at plus and minus infinity. In particular, each f^{(k)} is bounded. Our method is sufficiently computational to prove, for example, that f is bounded by 16.11 pages. Refereed article, to apppear in a book edited by D. Gardy and A. Mokkadem and published in 2000 by BirkhauserProbabilityData Structures and Algorithms68W40 (primary), 68P10, 60E05, 60E10 (secondary)text