I目录第一章函数、极限与连续性........................................................................................................1第一节函数..............................................................................................................................1第二节极限..............................................................................................................................6第三节收敛数列的性质..........................................................................................................8第四节函数极限的性质........................................................................................................11第五节无穷小与无穷大........................................................................................................12第五节洛必达法则................................................................................................................17第六节连续............................................................................................................................18第二章导数与微分......................................................................................................................22第一节导数概念....................................................................................................................22第二节函数的求导法则........................................................................................................25第三节高阶导数....................................................................................................................27第四节隐函数求导、对数求导法及参数方程函数求导....................................................29第五节函数的微分................................................................................................................31第三章中值定理及导数应用......................................................................................................33第一节连续函数的性质...........................................