Abstract
Any function built from continuous functions by additions, subtractions, multiplications, divisions, and compositions, is continuous where defined.
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All formulas are standard and are found in almost any calculus text, e.g. Edwards and Penney (1998), or Sydsæter and Hammond (2005). For uniform continuity, see Rudin (1982).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Limits. Continuity. Differentiation (one variable). In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_3
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DOI: https://doi.org/10.1007/978-3-540-28518-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
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