Question

Lim t-> 0 2t/tan t

Answer 1

2t cos(t)/sin(t) might be a good first step

Answer 2

then either l'hopital, or if you have not got there yet, then cos(0) = 1 and
2t / sin(t) = 2*t/sin(t)
since you know lim t / sin(t) = 1 this gives 2

Answer 3

So the answer is 2

Answer 4

2 is correct