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CLASSROOM NOTE

Is a definition always useful to calculate something?

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Pages 761-765 | Received 29 Jun 2012, Accepted 30 Aug 2012, Published online: 22 Jan 2013
 

Abstract

We calculate the limit of a particular trigonometric function

After a question proposed by a student: can you show a particular result, involving a trigonometric limit, using the definition of limit? The answer to this question is the aim of this manuscript.

in a case in which direct substitution results in an indeterminacy (zero over zero), in four different ways, showing that the definition is not always the best way to obtain a result.

Acknowledgements

ECG is grateful to CNPq for a research grant. The authors are grateful to Prof. W. A. Rodrigues Jr. and to Dr. J. Emílio Maiorino for many useful discussions.

Notes

After a question proposed by a student: can you show a particular result, involving a trigonometric limit, using the definition of limit? The answer to this question is the aim of this manuscript.

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