目录第一章函数、极限、连续性.................................................................................................................1第一节极限的概念.............................................................................................................................1第二节极限存在准则及重要极限.....................................................................................................5第三节无穷小与无穷大.....................................................................................................................7第四节函数的连续性.........................................................................................................................9第二章导数与微分...............................................................................................................................13第一节导数的概念...........................................................................................................................13第二节求导法则...............................................................................................................................16第三节高阶导数...............................................................................................................................19第四节函数的微分...........................................................................................................................21第三章微分中值定理及导数的应用...................................................................................................22第一节微分中值定理.......................................................................................................................22第二节洛比达法则...........................................................................................................................25第三节泰勒公式...............................................................................................................................26第四节单调性、极值及最值.................