how to find a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg105186] how to find a function*From*: barefoot gigantor <barefoot1980 at gmail.com>*Date*: Tue, 24 Nov 2009 05:45:44 -0500 (EST)

Dear Math Group:- Suppose we have:- x = a * e + (2*b - 3*a^2) * e^2 Now let us find such functions: F(x) = 1 + a * e + (2 * b - a^2) * e^2 + ...... we are just interested in the first three terms. Now two such functions can be: F1(x) = 1 + x + 2 * x^2 and F2(x) = (1-x)/(1-2*x) How can we find all such functions F(x)?