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Unformatted text preview: to estimate the maximum possible error and the percentage error in computing the volume of the cube. 3. Use I'Hospital's rule to find: x a) lim arctan(4x) x+O b) lim x2ex x+oo c) lim (xe1/x_ x) x+oo d) lim+ (1 + !)X x+O x Why doesn't it work? 2 4. What happens when you try to use I'Hospital's rule to compute lim ~ + x + x x+O ? 5. For the function f(x) = x + cot(x/2) find its absolute maximum and absolute minimum values on the interval [n/3,2n/3]. 6. a) Sketch the graph of a function f on the interval [0,1] which has no absolute maximum on [0,1] but has a local maximum at x = 1. b) Sketch the graph of a function f on the interval (0,3) which has neither a local maximum nor a local minimum, is continuous, and for which 1 and 2 are critical points. * * *...
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This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.
 Fall '07
 Unknown
 Math, Calculus

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