Convergence of Sequences

Steen Pedersen ()
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Steen Pedersen: Wright State University, Department of Mathematics

Chapter 9 in From Calculus to Analysis, 2015, pp 177-204 from Springer

Abstract: Abstract This chapter covers convergence of numerical sequences in some detail. This is followed by a discussion of convergence of sequences of functions, in particular, of uniform convergence of a sequence of functions. Applications include, Leibnitz Integral Rule, Fubini’s Theorem, the Approximate Identity Lemma, and a proof of the Fundamental Theorem of Algebra.

Keywords: Uniform Convergence; Fundamental Theorem; Pointwise Convergence; Compact Interval; Approximate Identity (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-13641-7_9

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