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 Jan 13 awarded Tumbleweed Jan 6 revised Analytic continuation of Puiseux series over complex numbers There is no reason to argue for the existence of a root. Jan 6 revised Analytic continuation of Puiseux series over complex numbers I corrected a wrong assumption. Jan 6 revised Analytic continuation of Puiseux series over complex numbers I corrected a wrong assumption. Jan 6 revised Analytic continuation of Puiseux series over complex numbers added 14 characters in body Jan 6 comment Factorial as a sum. Insight appreciated I found an analytic proof using Taylor expansion in this article: arxiv.org/abs/math/0702010v1 Jan 6 asked Analytic continuation of Puiseux series over complex numbers Nov 19 accepted Relation between two different definitions of quadratic convergence Nov 19 answered Relation between two different definitions of quadratic convergence Nov 18 awarded Teacher Nov 18 answered Factorial as a sum. Insight appreciated Oct 8 comment Relation between two different definitions of quadratic convergence @user251257, ah, of course. I haven't considered that $\limsup \frac{\lVert x_{k+1} - a \rVert}{\lVert x_k -a \rVert^2} = \mu$. That might be just good enough for me as I would prefer not to assume existence of the second derivatives. Thanks guys. Oct 7 comment Relation between two different definitions of quadratic convergence Thank you. Shouldn't that be an answer? Oct 7 revised Relation between two different definitions of quadratic convergence deleted 6 characters in body Oct 7 revised Relation between two different definitions of quadratic convergence added 36 characters in body Oct 7 asked Relation between two different definitions of quadratic convergence Apr 3 awarded Citizen Patrol Apr 3 comment Test To Determine If Two Circles Intersect In A 2-D Plane I would not say that these circles intersect. Try to draw them. One of them is inside the other. Dec 18 awarded Autobiographer Aug 18 awarded Scholar