Limites: aplicações e uma extensão do conceito

Abstract

In this work we talk about limits of a real-valued functions. We initially discussed the genesis of the concept of limit and its implications for solving various paradoxes. Next we present the formal definition of limit and some important results associated to this concept. We also present applications of limits to some knowledge areas and, as a particular instance, to the mathematics itself. Finally we give a brief presentation of a generalized concept of limit and an application of this new concept concerning the Riemann integral.