What can we deduce about the lim g(x,y) as (x,y) -> (0,0)? where g(x,y) = sin(x)/x+y in substituiting, we get 0/0 so it has an indeterminate form which requires further work to ascertain if it is truly DNE or if it has a limit. What I've been hearing too is that since it is 0/0 for the above function, the limit DNE. Which is which? Or are definitions being loosely used?