Answer:
½
Step-by-step explanation:
cot(2x) = 1/(tan(2x))
csc(x) = 1/(sin(x))
cot(2x)/csc(x) = sin(x)/tan(2x)
As x --> 0 this fraction is 0/0 which is an indeterminate form.
Using L'Hopital
Derivatives:
sin(x) ---> cos(x)
tan(2x) ---> 2sec²(2x)
cos(x)/(2sec²(2x))
= ½ as x --> 0
