Computation of Indeterminate Limit Forms for Multivariable Functions Using GUI_calcm in Calculus Education

Abstract

Taking limit for multivariable functions is one of the essential topics of calculus courses in calculus education. When evaluating limits, one can frequently come across with the solution of indeterminate limit forms such as 0/0, c/0 (c can be any real number). Well-known L'Hopital rule has been employed in the literature. However, this rule is lengthy and complicated process in some cases. So, finite difference methods as numerical methods have been developed and employed to solve these limits. All of the methods take too much time by hand computations. Main aim of the study is to design an indeterminate limit calculator: 'GUI_calcm' by use of Matlab GUI and APPS. The results of this study is to display the outputs obtained by each run of the calculator. These outputs are the results of each method with use of step size. Comparison of each method and performance of GUI_calcm are also presented.

Keywords

• GUI_calcm
• L
• indeterminate limits
• numerical methods

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