I'm having trouble with this problem
f(x,y)= {(sin(x^2+y^2 )/((x^2+y^2 ) ) (x,y)=(0,0)
1 (x,y)≠(0,0)
The question says to show that f is continuous
Notice that Prove It changed to polar coordinates. That simplifies the problem greatly- since just r itself measures the distance to (0,0) regardless of . As long as the limit, as r goes to 0, does NOT depend on [tex]\theta[\math], that gives the correct limit.