- Feb 22, 2012
I am attaching a pico of the question as I don't think of how I can adequately write this up with text and symbols. Ok, so, I have one problem in my find. I know that it is continuous, if the limit as it approaches the point (in this case (0,0) = the function evaluated at that point). BUT, we already have that it is defined as 0 at this point. and the limit of 0 is 0 so this is trivially true.. but more is expected to be written here.. its not enough marks for this. Is this ok what I am doing? do i have to show that xy^2/x^2+y^2 goes to 0? or that 0 goes to 0 :s. part 2 what is meant by 'directional' differatives? is it partial differatives? just as normal i find dz/dx, dz/dy? and second orders too or not? i think the question isnt clear what is expected to calculate.