Multivariate limits: just checking whether I solved this one correctly lim (x,y)-(0,0) for y sin (x/y). This seemed an easy one because there is no conlict. I plugged in both values and found 3/4.

Question

Multivariate limits: just checking whether I solved this one correctly lim (x,y)->(0,0) for y sin (x/y). This seemed an easy one because there is no conlict. I plugged in both values and found 3/4.

kainui · Answer

Yeah, looks good to me! Since sine oscillates between only finite numbers (1 and -1) as you go to infinity, multiplying it by zero is really not a problem.

anonymous · Answer

Thanks!