Abstract
The proofs of many theorems of calculus require a knowledge of the basic properties of continuous functions. In this section we establish the Intermediate-value theorem, an essential tool used in the proofs of the Fundamental theorem of calculus and of the Theorem of the mean.
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© 1977 Springer-Verlag, New York Inc.
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Protter, M.H., Morrey, C.B. (1977). Basic properties of functions on ℝ1 . In: A First Course in Real Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9990-6_3
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DOI: https://doi.org/10.1007/978-1-4615-9990-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4615-9992-0
Online ISBN: 978-1-4615-9990-6
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