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Question: how to find a function which produces the following series

Question:how to find a function which produces the following series

Lonely 400 Maple
November 23 2009
0

we have:

x = c[2]*e/c[1]+(2*c[3]*c[1]-3*c[2]^2)*e^2/c[1]^2+(3*c[4]*c[1]^2-10*c[2]*c[3]*c[1]+8*c[2]^3)*e^3/c[1]^3

how can we find a function "F(x)" the first three terms of whose power series around "e=0"  is given as:

1+c[2]*e/c[1]+(2*c[3]*c[1]-c[2]^2)*e^2/c[1]^2
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