Find the limit of:
x = r*cos(theta)
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?