1. limit cotx

here is the problem

lim x approaches pi of cotx

would anyone please tell me how to prove the limit doesnt exist by using sided limit from both sides. my prof told me that i have to show x approaches PI from the left and from the right.

thank you

2. Yes, you have to do what your professor told you to do. Recall that:

$\cot{x} = \frac{\cos{x}}{\sin{x}}$

======

EXTRA:

$\sin{\pi} = 0$

$\cos{\pi} = -1$

3. thank you for your help. i knew what you said but i got stuck in showing x approaches PI from the left and from the right