帮忙翻译一下,谢谢!本文简要介绍了泰勒公式及其几个常见函数的展开式,针对泰勒公式的应用讨论了九个问题,即应用泰勒公求近似值计算,计算极限,证明不等式,证明恒等式,求初等函数的幂

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帮忙翻译一下,谢谢!
本文简要介绍了泰勒公式及其几个常见函数的展开式,针对泰勒公式的应用讨论了九个问题,即应用泰勒公求近似值计算,计算极限,证明不等式,证明恒等式,求初等函数的幂级数展开式 ,求行列式的值,判断级数的敛散性,判断广义积分的敛散性,证明根的唯一存在性,判断函数的极值,求高阶导数在某些点的数值,求曲线的渐近线方程,关于阶的估计,导数的中值估计.

Answer 1

This paper briefly introduces the Taylor formula and several common functions for Taylor formula,we discussed the application of nine problems,namely,application Taylor male for approximate calculation,limit,to testify inequality,proof identities,o elementary function,let the power series expansions of value,judge determinant scattered series convergence of generalized integral sex,judge folding,proof of root scattered existence,judging function only,for the extremum higher-order derivative during some point,let the numerical relation curve equation,the estimated about order the median estimate,derivative.