1. The problem statement, all variables and given/known data Find the limit of: (x^2+y^2+2xy)/(x^2+y^2) 2. Relevant equations x = r*cos(theta) y= r*sin(theta) 3. The attempt at a solution So what I did was change to polar coordinates. Then it simplifies to: (r^2 + 2r^2cos(theta)sin(theta) )/r^2 Factoring out an r^2 from everything you get: 1 + 2cos(theta)sin(theta) And the limit as r and theta go to zero would appear to be 1. However if I plug in numbers very close to zero on my calculator it tells me that the limit is 2. Little help?