I am getting confused with regards to L'Hopitals rule and finding horizontal asymptotes as x -> infinity.
I have seen the method when we compare the denominator and numerator of a polynomial rational function and take the variable with the highest exponent and divide all elemenets of the eequation by this. From this we get one of three answers . a) the answer is the ratio between the leading coefficients of the numerator and denominator 2) the answer is 0 and 3) the answer is none (no horizontal asymptote).
Based on having those above three options availabel to me , I am confused when I would then use L'Hopital. I have had it explained to use it when I get 0/0 or infinity/infinity (negative or positive) and a few other instances (product and difference).