2015-03-062013-03C. Cadavid, S. Molina, J.D. Vélez, Limits of quotients of bivariate real analytic functions, Journal of Symbolic Computation, Volume 50, March 2013, Pages 197-207, ISSN 0747-7171, http://dx.doi.org/10.1016/j.jsc.2012.07.004. (http://www.sciencedirect.com/science/article/pii/S0747717112001204) Keywords: Limits; Real analytic functions; Puiseux series; Henselʼs Lemma0747-7171http://hdl.handle.net/10784/5066Necessary and sufficient conditions for the existence of limits of the form lim(x,y)→(a,b) f (x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an isolated zero at (a, b) -- The given criterion uses a constructive version of Hensel’s Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals -- A high level description of an algorithm for determining the existence of the limit as well as its computation is providedNecessary and sufficient conditions for the existence of limits of the form lim(x,y)→(a,b) f (x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an isolated zero at (a, b) -- The given criterion uses a constructive version of Hensel’s Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals -- A high level description of an algorithm for determining the existence of the limit as well as its computation is providedspaCopyright © 2015 Elsevier B.Varticleinfo:eu-repo/semantics/restrictedAccessFUNCIONES ANALÍTICASCÁLCULOANÁLISIS VECTORIALCÁLCULO INTEGRALDERIVADAS (MATEMÁTICAS)SUCESIONES (MATEMÁTICAS)SERIES (MATEMÁTICAS)CalculusAnalytic functionsVector analysisCalculus, integralSequences (mathematics)SeriesLímitesAcceso restringido2015-03-06Molina, SergioCadavid Moreno, Carlos AlbertoVélez Caicedo, Juan Diego10.1016/j.jsc.2012.07.004