As I solve this problem, it is undefined. Can you explain how you get 3 or 0. One of this is the answer but I'm not sure.

Question

lim as y approaches 0
6x^2 (cot y) (csc2y):

A. 3
B. 0

Answer 1

ctn y = siny/cosy
csc2 y= 1/sin2 y=1/(2sinycosy)
so ctn y * csc^2 y= 1/2cos^2 y

lim y>>0 6x^2/2cos^2y=3x^2
Did you type this correctly?

Answer 2

I meant 6y^2. Now I see where I went wrong.