2025最新版2025考研数学周洋鑫《大纲基础精讲一本通》微博/b站/小红书@考研数学周洋鑫2025最新版《考研数学大纲基础精讲一本通》新浪微博@考研数学周洋鑫1目录第一章函数、极限与连续..............................................................................................................7第一节函数极限的定义及基本性质.....................................................................................................8【考点1】函数极限的定义...............................................................................................................8【考点2】极限性质1:唯一性........................................................................................................9【考点3】极限性质2:局部保号性................................................................................................9【考点4】极限性质3:局部有界性..............................................................................................12第二节无穷小量及无穷大量..........................................................................................................14【考点1】无穷小及无穷大量定义.................................................................................................14【考点2】无穷小量比阶.................................................................................................................14【考点3】常见等价无穷小.............................................................................................................15【考点4】无穷小量的阶.................................................................................................................15【考点5】无穷小量的和取低阶原则.............................................................................................16【考点6】几个重点的等价无穷小题型.........................................................................................17【考点7】高阶无穷小运算法则.....................................................................................................18【考点8】等价无穷小...