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Unformatted text preview: lim x 3 x + 12 x3 . 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 tan1 ( x 2x 4 ) 7. In the denition of the limit lim x 1 (53 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 2c if x >1 continuous on ( , )? 10. Dierentiate the function f ( x ) = ( x1)( e x + x ) 11. Dierentiate the function f ( x ) = 1 x 3x + 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
 WILKENING
 Calculus

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