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Local comparison of functions. Numerical sequences and series

Chapter
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Part of the UNITEXT book series (UNITEXT, volume 84)

Abstract

In the first part of this chapter we learn how to compare the behaviour of two functions in the neighbourhood of a point. To this aim, we introduce suitable symbols — known as Landau symbols — that make the description of the possible types of behaviour easier. Of particular importance is the comparison between functions tending to 0 or ∞.

Keywords

Comparison Theorem Principal Part Limit Behaviour Small Order Absolute Convergence 
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.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly

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