Functions & Limits (Geogebra)

This is a geogebra program for use as a visual aid when teaching students about limits as a prelude to differential calculus. This program has been designed using Geogebra 5.0 (download version). You simply enter the numerator and denominator expressions of a function and specify and x limit. The program will then graph the function and display a point that represents the function value as the x values approach the specified limit. If the function is unable to be evaluated at the limit, the program will advise that the function is undefined and will show this as a hole in the graph. The program can also present a table of values as the function approaches the limit as well as any asymptote lines that exist in the function.