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  1. Be careful! Evaluating this limit as leads us to trouble:
      Recall that  is an indeterminate form.
    That means we do not know if the limit is finite (because the 's 'cancel out') or infinite (because there is a in the denominator).

    We can evaluate an indeterminate limit if that limit happens to be a definition of the derivative.
    Sure enough, part (a) is Ana's Definition of the Derivative:
    Since , notice that . So we can rewrite the limit as:
    So, we just need to find at and we have evaluated the limit.
    Now evaluate that derivative at :

  1. Refer to part (a).