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'Weekly Problem 36 - 2006' printed from http://nrich.maths.org/

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Given that $x$ is positive and less than 1, which of the following numbers is the largest?

$x^2 + x$, $x^2$, $x^3$, $x^3 + x^2$, $x^4$.
 
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This problem is taken from the UKMT Mathematical Challenges.

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