Abstract
Our 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.)p1. For example, in calculating the derivative of a function f at a point c, we look at the difference quotient
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© 1994 Springer Science+Business Media New York
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Berberian, S.K. (1994). Limits of Functions. In: A First Course in Real Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8548-4_7
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DOI: https://doi.org/10.1007/978-1-4419-8548-4_7
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