I would like to know how are encoded the real-analytic functions on the interval by the computers. When I think in a real-analytic function I just think in a composition of the ''typical'' analytic functions of every day, in all of this cases it is possible to find an ''exact''(because there is an explicit formula for the taylor expansion at any point) representation of these functions. I want also to ask if someone could give an example of a real-analytic function for which the representation in a computer is very bad behaves.