From Powers to Exponential Function
Patricia Sureda 1 * , Rita Otero 1
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1 CONICET- NIECYT - UNICEN, ARGENTINA* Corresponding Author

Abstract

The construction of the exponential function of a real exponent from the definition of the powers of a real number, and its properties, requires the notion of successions, a decimal approximation of a rational number, convergence, and limit of a function. In Argentina, this construction would exceed what could be taught at the secondary level, but it provides advanced students of teachers in mathematics, and teachers in practice, the possibility of discussing what happens in the case of irrational exponents of the type aπ, or discuss the validity of the properties of this type of power.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, 2019, Volume 14, Issue 3, 611-617

https://doi.org/10.29333/iejme/5774

Publication date: 14 May 2019

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Article Downloads: 1378

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