Question

find the limit as x approaches 0 for ((x^2)(cotx))/sinx

Answer 1

((x^2)(cotx))/sinx= (x*cotx)*(x/sinx)= (x*cosx/sinx)*(x/sinx)=cosx*(x/sinx)^2
now as x approaches 0 cosx and x/sinx approaches 1
hence required limit is 1*1^2=1

Answer 2

I agree with matricked.