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How do I prove the inequality $e^{-2x}\leq1-x$ for $0\leq x\leq1/2$?

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    @TheChaz: Out of curiosity: where did you see any research effort?2012-01-11
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    @Tim: Nowhere. I downvoted this.2012-01-11
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    @TheChaz, Sarcasm does not translate well on the internet. It would have been much more helpful and less confusing had you given your actually reason why you downvoted this question.2012-01-11

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