Carl Wiggins
New member
Discuss the continuity of the function ƒ: E^2 -> R if...?
1. ƒ(x,y) = { 1/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }
2. ƒ(x,y) = { (xy)/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }
3. ƒ(x,y) = { (xy^2)/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }
1. ƒ(x,y) = { 1/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }
2. ƒ(x,y) = { (xy)/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }
3. ƒ(x,y) = { (xy^2)/(x^2 + y^2) if (x,y) ? (0,0); 0 otherwise [if (x,y) = (0,0)] }