This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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.)...
View
Full Document
 Fall '08
 Yacobi
 appropriate limits

Click to edit the document details