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Limits of Functions

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Part of the book series: Problem Books in Mathematics ((PBM))

Abstract

• Let f : D → ℝ and let c be an accumulation point of D. We say that a real number L is a limit of f at c, and write

When a variable quantity converges towards a fixed limit, it is often useful to indicate this limit by a specific notation, which we shall do by setting the abbreviation

lim

in front of the variable in question.

Augustin Louis Cauchy (1789–1857)

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Correspondence to Asuman G. Aksoy .

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Aksoy, A.G., Khamsi, M.A. (2010). Limits of Functions. In: A Problem Book in Real Analysis. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1296-1_4

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