Recent content by xokaitt

maybe i should have been more specific ... I understand the geometrical concept of an epsilon neighborhood. What i do not understand however, is how to go about the proof. Formally speaking, what is the correct way to construct a delta-epsilon proof and how do I begin? i have been...

Homework Statement show that the function F:C\rightarrowC z \rightarrow z+|z| is continuous for every z0\in C2. Proof F is continuous at every z0\in C if given an \epsilon > 0 , there exists a \delta > 0 such that \forall z 0 \in C, |z-z 0|< \delta implies |F(z)-F(z0)|< \epsilon. I know...

ill post a new thread i guess.

this is a different problem that I'm struggling with , but are you competent in delta-epsilon proofs of continuity? since ur online and i can maybe take advantage if you are :smile: lol

The problem specifically refers to a set in the complex plane, and since I'm not sure if that belongs here, I will ask this question generally to make sure I have the right idea. I was given two equations and graphed the intersection. The intersection looks like a three-quarters of a...

Homework Statement Let f(x,y)=Ax2+E where A and E are constants. What are the critical points of f(x,y)? Determine whether the critical points are local maxima, local minema, or saddle points. 2. The attempt at a solution First I found the first partial derivatives with respect to...