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Unformatted text preview: ) = 16 x 2 + 1 x + 3 . (a) Identify the vertical asymptotes of the graph of f by calculating the appropriate limits. (b) Identify the horizontal asymptotes of the graph of f by calculating the appropriate limits. 4. (6 points) Let a > and consider the function f ( x ) = ( 3ax 2 if x < 1 , a x + 2 if x 1 . Find the value of a for which f is continuous and explain why the value of a that you found makes f continuous. 5. (6 points) Find the exact value of lim x 5x 5 x . Justify your answer. 6. (6 points) Let f ( x ) = 1 2 + 5 x . Use the defnition oF the derivative to compute f ( x ). (Note: Computing the derivative without evaluating the appropriate limit will not earn any credit.)...
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 Fall '08
 Yacobi

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