(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.

 (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


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