毕业论文（设计）2011届数学与应用数学专业0班级题目数列极限的求法及其应用二О一一年五月二十日内容提要数列极限可用SKIPIF1<0语言和SKIPIF1<0语言进行准确定义，本文主要讲述数列极限的不同求法，例如：极限定义求法、极限运算法则法、夹逼准则求法、单调有界定理求法、函数极限法、定积分定义法、Stoltz公式法、几何算术平均收敛公式法、级数法、收缩法等等.我们还会发现同一数列极限可用不同方法来求.最后我们还简要介绍了数列极限在现实生活中的应用，如几何中推算圆面积，求方程的数值解，研究市场经营的稳定性及购房按揭贷款分期偿还问题.通过这些应用使我们对数列极限有一个更系统立体的了解.关键词SKIPIF1<0定义；夹逼准则；Stoltz公式；函数极限OntheSolutionsandtheApplicationsastotheSequenceLimitName:YangNO.07Theguidanceofteachers:DongTitles:LecturerAbstractThelimitofasequencecanbeaccuratelydefinedbySKIPIF1<0languageandSKIPIF1<0language.Thispapermainlydescribesdifferentsolutionstofindingsequencelimit,forexample,definitionofsequencelimitmethod,fundamentaloperationsofsequencelimitmethod,squeezinglawmethod,themonotoneconvergencetheoremmethod,functionlimitsmethod,definiteintegralsdefinitionmethod,Stoltzformulamethod,geomericandarithmeticconvergenceformulamethod,seriesmethod,contractionmethod,etc.We'llalsofindthatdifferentmethodscanbeusedtosolvethesamelimit.Finally,wealsobrieflyintroducetheapplicationsofsequencelimitinreallife,suchas,inferingtheareaofacircleingeometry,findingthenumerialsolutionofequations,studyingthestabilityofthemarketoperationandtheamortizationproblemsofpurchasemortgageloans.KeyWordsSKIPIF1<0definition;Squeezinglaw;Stoltzformula;Functionlimits目录TOC\o"1-3"\h\uHYPERLINK\l"_Toc28142"第一章数列极限的概念PAGEREF_Toc281421HYPERLINK\l"_Toc15650"1.1数列极限的定义及分类PAGEREF_Toc156501HYPERLINK\l"_Toc25374"1.2数列极限求法的常用定理PAGEREF_Toc253742HYPERLINK\l"_Toc24464"第二章数列极限的求法PAGEREF_Toc244644HYPERLINK\l"_Toc25464"2.1极限定义求法PAGEREF_Toc254644HYPERLINK\l"_Toc24248"2.2极限运算法则法PAGEREF_Toc242485HYPERLINK\l"_Toc16382"2.3夹逼准则求法PAGEREF_Toc163826HYPERLINK\l"_Toc11087"2.4单调有界定理求法PAGEREF_Toc110878HYPERLINK\l"_Toc25441"2.5函数极限法PAGEREF_Toc254419HYPERLINK\l"_Toc5831"2.6定积分定义法PAGEREF_Toc583110HYPERLINK\l"_Toc19632"2.7Stoltz公式法PAGEREF_Toc1963211HYPERLINK\l"_Toc20945"2.8几何算术平均收敛公式法PAGEREF_Toc2094512HYP