Quickest Way for Limit at Infinity WITHOUT Dividing Every Terms

Dividing every single term by the highest degree of x in the denominator is not required by using this technique.
FIRST STEP: rewrite the function by only considering the highest degree, or power of x in both numerator and denominator.
SECOND STEP: determining the final answer based on the situation. We may encounter three possible situations depending on the initial function given, and each of them have different ways to get the final answer.
i. First situation: when degree of x is the same in both numerator and denominator, the final answer will be the coefficient of x in numerator divided by coefficient of x in denominator.
ii. Second situation: when degree of x in numerator is lower than denominator, the final answer will be zero.
iii. Third situation: when degree of x in numerator is higher than denominator, the final answer will be infinity.
0:00 Introduction
0:43 Step 1- Rewrite Function
1:12 Step 2- Determine Final Answer based on Situations
1:30 First Situation
2:26 Second Situation
3:07 Third Situation