Limits and Continuous Functions

  • Serge Lang
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Let {x n } be a sequence of real numbers. We shall say that the sequence converges if there exists an element aR such that, given є > 0, there exists a positive integer N such that for all nN we have
$$\left| {a - {x_n}} \right| < \in .$$

Keywords

Posite 

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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