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Unformatted text preview: that f (0) = f (1). Show that for any n ∈ Z + there exists at least one x ∈ [0 , 1] such that f ( x ) = f ( x + 1 /n ). 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, lim, Continuous function, et dt

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