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.Keywords:
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.