Question

Problem 1: Is f(x,y)=x^ 2 y+3x^ 3 y^ 4 -x+2y continuous at (0, 0) ? Where is it continuous?

Answer 1

A 2-variable function continuity ,at (0,0)

Its continue at (0,0) if is defined at this point and its near points

then replace x by (x+h) , and find limit when h goes to zero.

Then f(x,y) at (0,0) = O

Now when x and y are going to zero