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Unformatted text preview: x c f x g x (C) [ ] 2 lim ( ) x c h x (D) 1 lim ( ) ( ) x c g x h x  (E) [ ] lim ( ) / ( ) x c g x f x 6. (10 points) 4sin( ) Let ( ) 2 x x f x x a x x < =  Find all choices for a such that f is continuous on the interval , 2 2 7. (10 points) Find all discontinuities of f ( x ) and label them as essential, removable, or infinite, given that f ( x ) = 2 x 2 x 32 x . 8. (10 points) Use the Intermediate Value Theorem to show that there is a solution of the given equation in the indicated interval. 5 2 2 2=x x [2,4] 9. (10 points) Find the derivative of ( ) 2 3 f x x =using the limit definition of the derivative. 10. (10 points) Use an , proof to show that 2 1 lim 2 1 2 x x =...
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This note was uploaded on 03/30/2011 for the course MATHMATICS 1101 taught by Professor Zhong during the Spring '11 term at Georgia State University, Atlanta.
 Spring '11
 Zhong

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