Part of understanding the global dynamics of mathematical models is to investigate the end behaviors (i.e. limits at infinity) of these models. As shown in almost every precalculus course, values of both exponential functions of the form ekx , k \u3e 0, and polynomials with positive leading coefficient grow as their input values gets “arbitrarily large”. Motivated by these facts, we investigate how the growth of exponential functions compares to the growth of polynomials. In particular, we show that every function of the form ekx, for k \u3e 0, eventually dominates every polynomial
