极限思想及其应用摘要:..............................................................................................................................................1关键词..............................................................................................................................................1Abstract.............................................................................................................................................1Key words..........................................................................................................................................1引言:..............................................................................................................................................21.极限思想的形成及发展........................................................................................................22.选题的背景及意义................................................................................................................2一、极限思想的思维本质...............................................................................................................21.极限思想揭示了无限与有限之间的相互转化....................................................................22.极限思想是对近似和精确相互转化的揭示........................................................................23.极限思想揭示了变量与常量之间的对立统一....................................................................2二、极限思想在数学分析中的应用...............................................................................................31.在导数中极限思想的应用....................................................................................................32.在积分中极限思想的应用....................................................................................................43.在微分中极限思想的应用....................................................................................................54.在开方中极...