• Vladimir A. Zorich
Part of the Universitext book series (UTX)


The concept of limit of a function is one of the fundamental concepts of analysis.

We begin our discussion of the theory of limits by considering the limit of a function of a natural-number argument (a sequence), in view of the fundamental role played by these functions and also because all the basic facts of the theory of limits can actually be clearly seen in this simplest situation.

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Vladimir A. Zorich
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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