How to find the value of a and b from this limit problem with or...
How to find the value of a and b from this limit problem with or without L'Hopital's formula?
Consider the limit:
Question: How can I find the values of a and b?
My first thought is, we need to use L'Hopital's rule to make sure that the denominator isn't zero:
Applying L'Hopital's rule, and we get:
Then, we can substitute the limit of x to the equation such that:
and we get that the value of a is 6.
But, how can I find the value of b? It seems that after applying the L'Hopital's formula the value of b disappears.
Also, is there a way to solve this problem without L'Hopital's rule?