Without your calculator, evaluate the following limits.
Notice that this is a right-sided limit because
is an endpoint on
There is no limit from the left of the endpoint; so, consequently, this must be written as a one-sided limit.
This is a limit to infinity. We are looking for end-behavior. Compare the highest-power term in the numerator and the denominator.
There is a horizontal asymptote of
This is Ana's Definition of the Derivative:
So Ana's derivative can be evaluated as:
The limit is equal to