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Unformatted text preview: x for every irrational x . (a) Prove f ( x ) is continuous at x = 0. (b) Set a = 0. Prove that f ( x ) is not continuous at x = a . EXAM 2 OCTOBER 29, 2010 3 (5) (15 points) Let f be continuous. Prove that x x t f ( t )( x t ) dt = f ( u ) du dt. MIT OpenCourseWare http://ocw.mit.edu 18.014 Calculus with Theory Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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 Fall '10
 ChristineBreiner
 Calculus, Derivative

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