Limits...is my answer correct?

Question

lim as x tends to pi/2  cotx/cscx.

 

(cos/sin)/(1/sin) = cosx = 0 

Answer 1

Yes. 

In fact this one can be done by direct substitution.  

cot(pi/2) = 0   and csc(pi/2) =1    

0/1 is not an indeterminate form  , so the answer is 0.