Due to its highly abstract content, infinite series is a diffieuh point in the teaching of higher mathematics. How to teach the infinite series vividly and appropriately is always in the mind of a math teacher. Mathematica software, with a powerful computing of symbols, and graphie functions, can enhance the geometrical visual of teaching this content, which can also make up for students＇ deficiency in spatial imagination. Practice has proved that teaching with Mathematica software and multi-media technology which visualize abstract mathematical concepts and theories can not only arouse students＇ interest in study and deepen their understanding of the content but also develop their inquiry learning and their creative thinking as well.