Titlebook: A First Course in Real Analysis; Sterling K. Berberian Textbook 1994 Springer-Verlag New York, Inc. 1994 Finite.Mean value theorem.Rack.Ri

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https://doi.org/10.1007/978-3-531-93463-1The purpose of the chapter is to explore those special subsets of ℝ (preeminently, but not exclusively, intervals) that prove to be most useful in the study of the functions of calculus.

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Rainer Mackensen,Wolfgang SeröserOur main reason for taking up limits is to prepare the way for derivatives in the next chapter. More generally, limits provide a framework for discussing ‘indeterminate forms’ ( 0/0, 0., 0. ∞, etc.).. For example, in calculating the derivative of a function . at a point ., we look at the difference quotient

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