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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-137


Without your calculator, evaluate the following limits.

  1. 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.

  1. 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 .

  1. This is Ana's Definition of the Derivative:

    f and
    So Ana's derivative can be evaluated as:
    The limit is equal to .

Compute without a calculator