This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

Ways of using the calculator as a vehicle for investigating one aspect of the square root concept are illustrated. (MK)

Included are a detailed example of a calculator demonstration, the general principles to be followed in preparing a calculator demonstration, a list of demonstration topics for a calculus course, and some suggested topics for other courses. (MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)