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Unformatted text preview: x = − 4 g ( x ) = b x 2-16 x +4 if x n = − 4 , − 8 if x = − 4 . (4) (10 Points) The function h ( x ) is deFned as follows h ( x ) = √ x +2 x +1 if x > , − 2 if x = 0 , e x + c if x < . 1 2 INSTRUCTOR: JOS ´ E MANUEL G ´ OMEZ (a) Find the value of c such that lim x → h ( x ) exists. Please explain your answer. (b) Suppose now that c is the number you found in part (a). Is the function h ( x ) continuous at x = 0. Please explain your answer....
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- Fall '11
- Calculus, Continuous function, JOSE MANUEL GOMEZ