We have performed high-resolution specific-heat measurements on an untwinned, high-quality single crystal of LuBa2Cu3O7-x, near the normal-superconducting transition temperature, in applied magnetic fields up to 5 T, along the c-axis. The data has been analyzed in terms of the finite-size scaling approach, Inderhees, et al., (PRL 66, 232, (1991)). We have found that this idea does not adequately describe our results. The problems associated with this model will be detailed. Recently, a model proposed by Tesanovic et al. (PRL 69, 3563 (1992)) has been utilized with some success.