An introduction to Axiom (3): Calculus

This is the third in a sequence of posts about the open source CAS Axiom. The previous post can be found at http://amca01.wordpress.com/2008/05/25/an-introduction-to-axiom-2/.
In this post I shall be looking at Axiom’s calculus abilities, starting with every beginning student’s love, limits:

Note here the use of %plusInfinity which is positive infinity. Axiom also has %minusInfinity. [...]