When computing the series expansion of a
Root object, Mathematica throws an error like: "Because of branch cuts, the series may represent a different root of [root expression] for some values of [expansion parameter]". However, I always compare the results I get with the "exact" numerical result and it always, within a certain region, yields a good approximation.
Could somebody maybe show me a simple example of a
Root-object, series expanded around a point x, where due to branch cuts, the result is actually not good. If I misunderstand this completely, please explain, what is meant by this warning, and what Mathematica is actually trying to warn me about.