Chapter

Limits and Continuity

James Davidson

in Stochastic Limit Theory

Published in print October 1994 | ISBN: 9780198774037
Published online November 2003 | e-ISBN: 9780191596117 | DOI: http://dx.doi.org/10.1093/0198774036.003.0002

Series: Advanced Texts in Econometrics

 Limits and Continuity

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The basic ideas of real analysis are covered, including Euclidean distance, sets of the real line, coverings, compactness, real sequences, Cauchy sequences, limits, and cluster points. The chapter then introduces functions of a real variable, continuity concepts, convergence concepts for sequences of functions, summability and order of magnitude relations, regular variation, and limit concepts for arrays.

Keywords: analysis; array; Cauchy sequence; continuity; Euclidean distance; function; limit; order of magnitude; sets; summability

Chapter.  10425 words. 

Subjects: Econometrics and Mathematical Economics

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