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Wylie Mathematics Tournament Ciphering Competition

Division II Round I Ciphering - Furman University

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Division II Round II – Number 5<br />

If f(x) = 1 − 1<br />

1−x<br />

, what is the value of the<br />

following expression:<br />

f(f(· · · (f(3)) · · · ))<br />

where there are 2006 f ′ s in the composition?

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