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Unformatted text preview: lim x 1 x 3-1 x 2-1 . 1 5. Let f ( x ) = 3 + 1 /x . In the denition of the limit lim x f ( x ) = 3, if = 1 / 5, how large must N be to guarantee that | f ( x )-3 | < for all x > N ? 6. Show that the equation x 4-x-1 = 0 has at least one real solution in the interval (1 , 2). 7. Dierentiate the function f ( x ) = 2 x + 1 x + 3 . 8. Dierentiate the function f ( x ) = x e x . 9. Find the values of x where the graph of y = x 3-6 x 2 has a horizontal tangent line. 2...
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This note was uploaded on 03/08/2010 for the course MATH 1A taught by Professor Wilkening during the Fall '08 term at University of California, Berkeley.
- Fall '08