find limit if exist, or not then why
f(x,y) = xy / sqrt(x2+y2)
as (x,y) --> (0,0)
The Attempt at a Solution
can i change to polar coordinates
so f(r,t) = rcostsint
so as x,y tends to 0, r t will tend to 0 too?but cos(t) at 0 gives me 1?
so i can only rely on r?
so i say since r tends to 0 , rcostsint gives 0 , so the limit exist and is 0? but what about the variable t?