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Question: How to find functions

Question:How to find functions

Lonely 400
November 23 2009
0

 

Suppose we have:-
 
x = a * e  + (2*b - 3*a^2) * e^2

Now let us find 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)?
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