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[函数] ln2大小问题

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等待hxh posted 2015-1-1 22:30 |Read mode
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战巡 posted 2015-1-2 02:35
回复 1# 等待hxh

泰勒展开不就完了
$\ln(1+x)$的展开收敛很慢,不适合做这种事,但可以反过来用$e^x$嘛


令$f(x)=1+x+\frac{x^2}{2}+\frac{x^3}{6}$
易证:
\[2<f(0.7)<e^{0.7}\]

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