1. The problem statement, all variables and given/known data lim as (x,y)-->(0,0) of sin(x^2+y^2)/(x^2+y^2) Questions: Does limit exist and if so, what is it. 2. Relevant equations 3. The attempt at a solution 1. The professor instructed us to convert to polar coordinates to see if result depends on theta. If it does no limit. Conversion: lim as r-->0 of sin(r^2 cos^2(theta) + r^2 sin^2(theta)) / (r^2 cos^2(theta) + r^2 sin^2(theta)) This I think reduces to sin(r^2)/r^2. This implies that the limit exists, correct(since the answer doesn't depend on theta)? However, this doesn't help me with actually finding the limit, as plugging in 0 still yields indeterminate 0/0. What do i do?