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Unformatted text preview: lim x 3 x + 1-2 x-3 . 5. Evaluate the limit, if it exists (possibly as an innite limit). lim x / 2 tan x 6. Evaluate the limit, if it exists (possibly as an innite limit). lim x tan-1 ( x 2-x 4 ) 7. In the denition of the limit lim x 1 (5-3 x ) = 2 , nd a value of that works for = 0 . 1. 8. Prove that there is at least one real solution of the equation xe x = 1. 1 9. For what value of the constant c is the function f ( x ) = x + c if x -1 x 2-c if x >-1 continuous on (- , )? 10. Dierentiate the function f ( x ) = ( x-1)( e x + x ) 11. Dierentiate the function f ( x ) = 1 x 3-x + 2 12. Find an equation of the tangent line to the curve y = x at the point (4 , 2). 13. Dierentiate e x (cos x + sin x ). 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