Using polar coordinates, show that lim (x,y)->(0,0) [sin(x^2+y^2)]/[x^2+y^2] = 1
The Attempt at a Solution
I was able to get the limit into polar coordinates:
lim r->0^+ [sin(r^2)]/r^2
but I'm not sure how to take this limit. I tried L'Hospital's, but it was just messy and useless seeming. So, any hints?