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6-168.

Determine the exact value of each of the following limits. Note that calculating the exact value requires that the limit be found analytically rather than numerically. Homework Help ✎

  1. 2

  1. Careful! Be sure to check:
    For a limit to exist, the limit from the left must agree with the limit from the right.

    What does 

  1. Recognize that this is Hana's Definition of the Derivative, and find , or use l'Hôpital's Rule.

  1. , which is also an indeterminate form.
    Before using l'Hôpital's Rule, you will need to convert the argument into a single fraction that

    To evaluate this limit, you will have to use l'Hôpital's Rule twice.

  1. To convert this limit into  form, let .

  1. See the hint in part (a).