Research Brief: Buy our AP Calculus workbook at For notes, practice problems, and more ... Show that, for n=2, 3, 4, ..., there is some a in [0, 1-1/n] such that f(a)=f(a+1/n).

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Show that, for n=2, 3, 4, ..., there is some a in [0, 1-1/n] such that f(a)=f(a+1/n). Buy our AP Calculus workbook at For notes, practice problems, and more ...

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How math majors use the intermediate value theorem!

Let f be a continuous function on [0, 1] and f(0)=f(1). Show that, for n=2, 3, 4, ..., there is some a in [0, 1-1/n] such that f(a)=f(a+1/n).

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