This paper circulates around the core theme of (1 mark) Let A =(x,y) ∈R2 : 0 ≤ x + y ≤ 2 and −1 ≤ x−y ≤ 1 . Determine its interior and its boundary. Is A open? Explain your answer. together with its essential aspects. It has been reviewed and purchased by the majority of students thus, this paper is rated 4.8 out of 5 points by the students. In addition to this, the price of this paper commences from £ 12. To get this paper written from the scratch, order this assignment now. 100% confidential, 100% plagiarism-free.
(1 mark) Let A =(x,y) ∈R2 : 0 ≤ x + y ≤ 2 and −1 ≤ x−y ≤ 1 . Determine its interior and its boundary. Is A open? Explain your answer.
2. (3 marks) Consider the function
f : R−→R : f(x) =|x|+ x,x 6= 0, 2,x = 0. Use ε−δ deﬁnition to show that f is not continuous in its domain?
3. (2 marks) Use any technique of your choice to show that lim (x,y)→(0,0)
xy2 + x2y x3 + y3
does not exist