Limit of the function fxy 123 f is constant function from

Limit of the function f(x,y) = (1,2,3) ( f is constant function from R2 to R3), when (x,y) is approaching (0,0) is (1,2,3)

Please explain

Solution

Given f(x,y) is constant function from R2 to R3 and it is given that f(x,y) = (1,2,3)

As it is constant function the value for any x & y is (1,2,3).

Limit when (x,y) is approaching (0,0) = f(x,y) at around (0,0) if f(0,0) is discontinuos at (0,0) so the limit is (1,2,3)

Limit when (x,y) is approaching (0,0) = f(x,y) at (0,0) if f(0,0) is continuos at (0,0) so the limit is (1,2,3)