Limits and Continuous Functions

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


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
$$\left| {a - {x_n}} \right| < \in .$$


Positive Integer Continuous Function Closed Interval Open Interval Cauchy Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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