@armando197378 Yes (of course if the denominator is nonzero). You can't state that sqrt(2)=lim_{r,n\to\infty} r/n. Notice that lim_{r,n\to\infty} r/n does not make sense, since the iterated limits don't commute.
@armando197378 That is simply not the definition of rational number. Of course, any real nonrational number can be represented as a limit of rational numbers.
La famosa conjectura de McKay, proposada en 1971 i un dels problemes més importants en teoria de caracters de grup finits, ha sigut finalment resolta per Britta Späth y Marc Cabanes.
After 20 Years, Math Couple Solves Major Group Theory Problem | Quanta Magazine