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Compare the limit statements below. What do you notice?

  1. What do they have in common? How are they different?

    Your answer should include many observations, including:

    They are both Defintions of the Derivative.

    i. uses Hana's Method.
    ii. uses Hanah's Method.

    In both cases, the function that is being differentiated is .

    Once is determined, both can be evaluated using the Power rule, avoiding lengthy Algebraic manipulation.

  2. Evaluate these limits using any method you choose.

    i. Refer to hints in problem 3-64.
    ii. Refer to hints in problem 3-92.