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Evaluate the following limits.

  1. Factor the denominator and rewrite the numerator as a piecewise. Notice that the pieces might or might not meet at .

  1. What does the graph look like as ?
    What is the end behavior of 

  1. Before taking the limit, either factor the numerator multiply the top and bottom by the conjugate of the bottom.

  1. Limit . Compare the highest powers of the top and the bottom. What does this graph look like at the end?

  1. Before taking the limit, factor.