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Unformatted text preview: by g ( x ) = f ( x ) a : x = : x = is not continuous at x = 0. (6) page 145:5 Bonus: Let f be a bounded function that is integrable on [ a,b ]. Prove that there b c exists c R with a c b such that f ( x ) dx = 2 f ( x ) dx . a a 1 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, Continuity, Limits

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