Comment #93 on issue 1598 by fredrik.johansson: New polynomials
manipulation module
http://code.google.com/p/sympy/issues/detail?id=1598
Specifically, Rouche's theorem can be used.
f(x) = 1 + (A/eps)*x
g(x) = (B*x^2 + ...)/eps
Then by finding a radius R such that |g(x)| < |f(x)| within R (which is
easy), f(x)
has the same number of roots as f(x+g(x) = p(x)/eps within that radius,
i.e. 1 if R <
A/eps.
This should be possible to generalize to multiple roots.
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