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url: /notes/高等数学/函数-极限-连续/index.md
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## 简单函数及其定义域

![image-20220221171843622](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211718654.png)

## 周期函数

![image-20220221171912607](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211719674.png)

## 奇函数和偶函数

![image-20220221171934041](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211719076.png)

## 数列极限

## 函数极限的定义

## 函数极限的性质

![image-20220221172208177](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211722240.png)

## 无穷大与无穷小

![image-20220221172249020](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211722359.png)

![image-20220221172303696](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211723950.png)

## 证明 函数极限、无穷大、无穷小

![image-20220221172325279](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211723505.png)

## 极限运算法则

![image-20220221172410812](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211724208.png)

![image-20220221172422589](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211724857.png)

## 极限存在准则 两个重要极限

![image-20220221172459721](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211725070.png)

![image-20220221172511854](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211725065.png)

## 无穷小的比较

![image-20220221172530938](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211725225.png)

![image-20220221172542741](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211725850.png)

## 函数连续性

![image-20220221172600935](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211726299.png)

## 函数的间断点

![image-20220221172639918](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211726173.png)

## 连续函数的运算性质

![image-20220221172658190](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211726349.png)![image-20220221172710211](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211727505.png)

## 初等函数连续性

![image-20220221172731379](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211727511.png)

## 闭区间上连续函数的性质

![image-20220221172750095](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211727206.png)

![image-20220221172802790](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211728993.png)![image-20220221172815378](https://note-1259190304.cos.ap-chengdu.myqcloud.com/note/202202211728642.png)