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Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-110


Evaluate each limit. If the limit does not exist, say so but also state if is approaching positive or negative infinity.

  1. Simply evaluate at .

  1. You can multiply the top and bottom by the conjugate:
    You might have noticed that this is Ana's definition of the derivative:

    Rewrite the given limit as:
    Deconstruct the definition:
    Write the derivative equation:
    Evaluate at


    Either way, your answer should be .

  1. This is Hana's definition of the derivative.

    Find and .

  1. Refer to the hint in part (a).

  1. Which problems above can be interpreted as the definition of the derivative at a point?

    Refer to the previous hints.