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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-137
4-137.
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:
f
and
So Ana's derivative can be evaluated as:
The limit is equal to.