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1 + x + x^2 + x^3 + ...+ x^{2011} >=0 for x>=-1 (HOMC 2011 Q4)

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July 25, 2019
algebrainequalitiespolynomial

Problem Statement

Prove that 1+x+x2+x3+...+x2011≥01 + x + x^2 + x^3 + ...+ x^{2011} \ge 0 for every x≥−1x \ge - 1 .
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