limits of two variable:
lim(x,y)approches (0,0) of xy/(sqrt(x^2+y^2))
how do i prove the limit when both y=mx and y=x subsitution are equals to 0.

Question

limits of two variable: 
lim(x,y)approches (0,0) of xy/(sqrt(x^2+y^2))
how do i prove the limit when both y=mx and y=x subsitution are equals to 0.

amistre64 · Answer

the only thing that comes to mind clearly for this stuff is that the limit has to be the same from all directions

amistre64 · Answer

can you determine a set of direction for which the limit differs?

anonymous · Answer

different limite will only prove that it s not exist but i want to know how to find the limit if it exist

amistre64 · Answer

hard to say right off hand.  the stuff im reading to refresh my memory on this says that you simply have to try all sorts of different paths, and if you find a limit of one that doesnt match, then the limit does not exist