Abstract
A function f: A ⊂ R → R is continuous at a point x 0∈ A if for every ε > 0 there exists a number δ > 0, depending on ε and on the point x 0 , such that for every x ∈A with the property |x − x 0 | < δ it holds |f(x) − f(x 0 )| < ε.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Schmeelk, J., Takači, D., Takači, A. (1995). Continuity. In: Elementary Analysis through Examples and Exercises. Kluwer Texts in the Mathematical Sciences, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8589-7_5
Download citation
DOI: https://doi.org/10.1007/978-94-015-8589-7_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4590-4
Online ISBN: 978-94-015-8589-7
eBook Packages: Springer Book Archive