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branch points are nasty just excluding branch points is not enough to make functions continuous you have to adjust the main in such a way that you also cannot go around the branch point and that is a much more severe restriction how are we going to do that and this log of more than one branch point density will learn in this video so we add our half of set equals log of said we saw that origin is a branch point of the log a figure around origin in the domain we end up adding other points in the co-domain so lets look at any other point in the complex plane so for example points say what happens if we circle around the point 1 we start for example approximately over here so what do we see well the look of set is to elect modulus of the set press items the capital arc argument of set the argument is there approximately say bow for the animal this is something like well square root of 2 something like that now if you continue then the norm slowly increases to slightly bigger values and t
