Sequences and series

  • Adi Ben-Israel
  • Robert Gilbert
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)


This chapter is devoted to the study of convergence of sequences (a0, a1, a2, . . . ) and series ∑ n=0 an of real numbers an. We use the notation N0 := {0, 1, 2, 3,. . .} and N := {1, 2, 3,. . .} throughout.


Convergence Criterion Cauchy Sequence Convergent Subsequence Peak Point Convergent Sequence 
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Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • Adi Ben-Israel
    • 1
  • Robert Gilbert
    • 2
  1. 1.Rutgers Center for Operations Research and Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of Mathematical Science and Computer and Informational SciencesUniversity of DelawareNewarkUSA

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