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Mathman is correct, except you don't really need to simply the function yourself.
You can just give it to Graphing Calculator 3D as is and watch the graph.

Here I'm attaching what I got as result. Let me know if this answered your question.

Yes, you can graph limit functions using Graphing Calculator 3D. Heres an example.

If you have the function f(x) = (x^2-3x)/(x^2-9) you can factor this as f(x) = (x(x-3))/((x-3)(x+3)).

This can then be simplified as Lim(x/(x+3)) as (x) approchies + or - infinity.

By finding the zeros of the denominator, this function has a vertical asymptote at x = -3

And a horizontal asymptote at y = 1

To graph this limit function put y = x/(x+3) in the equation field.

This shows you the graph of the function as (x) approchies + or - infinity.

Hope this will help.

MathMan

Can I graph Limit Functions with Graphing Calculator 3D? If so, can you give an example?

Thanks! Physics_Guy