Limits in 2 variables

>>97219
Show that the limit is different when approaching (0,0) from 2 different paths.

>>97230
I know that, but finding path with 2 different limits it's the difficult part

Are you sure it doesn't have limit? The plot is quite regular around (0,0). Software can be messy when dealing with path dependant stuff.

>>97261
The iterated limit give me 0, but if I take the path y=1/x, thing get messy and approach it from the positives numbers, the function goes to the infinite

I don't know if I did something wrong there to be honest

ignore the "thing get messy" in >>97273
to understand what I'm saying