Limit Properties

Change f(x) and g(x). To change the number that x approaches, plug numbers in for "a."

How did the applet find the limit of f(x)+g(x)?
How did the applet find the limit of f(x)-g(x)?
How did the applet find the limit of f(x)g(x)?
How did the applet find the limit of f(x)/g(x)? Is there a restriction for this last one?
Are there any patterns you notice?

Janel Warren, 30 November 2013, Created with GeoGebra