How do i solve for the limit as x approaches 0 for cotx/cot2x

Answer 1

As x approaches 0 this function approaches 0/0 which is indeterminate

So use L'Hopitals Rule

lim x>0 cot x / cot 2x = lim x>0 d/dx (cotx) / d/dx (cot2x) .....

and keep applying LHopitals rule until you get a function that is NOT 0/0 or ∞ /∞