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.
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© 1995 Springer Science+Business Media Dordrecht
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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
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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
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