I'm trying to analyze continuity for the following function at (0,0):
I tried a few approximations that I managed to solve to 0. But then I tried this approximation when x→0 ; y=x2 and this is how far I got:
I'm not sure if there is nothing else I can do to simplify so I must conclude the limit doesn't exist, or if I'm actually doing something wrong and the limit exists (and it's 0). So I tried compression:
but again, I'm stuck there as I can't find the g(x,y) function I need...
Any help would be much appreciated
Thanks in advance!
I tried a few approximations that I managed to solve to 0. But then I tried this approximation when x→0 ; y=x2 and this is how far I got:
I'm not sure if there is nothing else I can do to simplify so I must conclude the limit doesn't exist, or if I'm actually doing something wrong and the limit exists (and it's 0). So I tried compression:
but again, I'm stuck there as I can't find the g(x,y) function I need...
Any help would be much appreciated
Thanks in advance!