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If $0<|w|<1/2$, then $2|w|/3<|\operatorname{Log}(1+w)|$ using power series and modulus inequalities.

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    It doesn't appear true for $w=0$2011-09-12
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    What's the power series for $\operatorname{Log}(1+w)$? (That's a hint, not a question:)2011-09-12

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