Taylor's Inequality states:(adsbygoogle = window.adsbygoogle || []).push({});

if |f n+1(x)|<=M

then

|Rn(x)|<=M*|x-a|^(n+1)/(n+1)!

however,

Rn(x)=f n+1(x)*|x-a|^(n+1)/(n+1)!+....

it seems |Rn(x)|>=M*|x-a|^(n+1)/(n+1)! when |f n+1(x)|=M

the inequality is wrong??

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# Confusion with the Taylor's Inequality

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