How can I neglect higher orders of approximation in Mathematica?
Suppose I want to find the roots of a simple quadratic equation like
x^2 + (b + Epsilon)*x + c == 0
Epsilon << 1. Obviously, the roots are
x -> 1/2 (-b - Epsilon - Sqrt[-4 c + (b + Epsilon)^2]) x -> 1/2 (-b - Epsilon + Sqrt[-4 c + (b + Epsilon)^2])
Now, how can I neglect