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目录1引言.........................................................................................................................................22泰勒级数.................................................................................................................................32.1泰勒公式..........................................................................................................................32.2泰勒级数..........................................................................................................................32.3泰勒展开式(幂级数展开式)........................................................................................43泰勒级数的应用.....................................................................................................................63.1利用泰勒级数将非初等函数展开为幂级数的形式......................................................63.2近似计算..........................................................................................................................73.3证明不等式....................................................................................................................103.4应用泰勒级数计算积分................................................................................................10参考文献..................................................................................................................................121泰勒级数及其应用（西北师范大学数学与统计学院甘肃兰州730070）摘要:本文主要介绍了泰勒级数及其应用,泰勒级数是一种常用的数学工具,在很多时候利用泰勒级数解题是非常方便的.本文就是对泰勒级数及其应用的一些叙述,主要是对泰勒级数在初等函数展为幂级数、近似计算、证明不等式、计算积分等方面展开讨论.关键词:泰勒公式;泰勒级数;泰勒展开式;近似;不等式;积分中图分类号:O171TaylorseriesanditsapplicationsWANGYi(CollegeofMathematicsandStatistics,NorthwestNormalUniversity,Lanzhou730070,China）Abstract:ThisthesismainlyintroducesTaylorseriesanditsapplications.Taylorseriesisakindoffrequently-usedmathematicaltool,whichmakesitmuchmoreconvenienttosolveproblems.Inthisthesis,Taylorseriesanditsapplicationsarediscussed,whichincludessomeuseofTaylorseries,referringtotheexpans
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