math dp exam

Question 1

How do you use lohpital’s rule to calculate limits?

Answer 1

You take the numerator and denominator seperatley and calculate what you’d get when substituting x=a into the numerator and denominator. If you get 0/0 or infinity/infinity, you can seperatley differentiate the numerator and denominator then substitute x=a into that to find the limit.

limit might not exist if you do the first step and don’t get 0/0 or infinity/infinity

limit might not exist if the derivative doesnt exist like the derivative of the absolute value of x

limit might not exist if you repetitively get 0/0 and infinity/infinity after doing lohpitals rule