WEEKLY ACTIVITIES

Thời gian: 9h00 đến 10h00 sáng thứ 4 ngày 16/03/2022 theo hình thức trực tuyến.

Link seminar: meet.google.com/gaq-qqdn-wzh

Tóm tắt: Given two nonzero real polynomials f, g and a point O in the real plane, we give some necessary and sufficient conditions for the existence of the limit of f(z)/g(z) as z tends to O. We also show that, if the denominator g has an isolated zero at the given point O then the set of possible limits of f(z)/g(z), as z tends to O in different directions, is connected and can be explicitly determined. As an application, we propose an effective algorithm to verify the existence of the limit and compute the limit (if it exists). Our approach is geometric and is based on Puiseux expansions.