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Chapt 13. 多元函数的极限与连续

Chapt 13. 多元函数的极限与连续. §1. 平面点集 §2. 多元函数的极限和连续性. 一、邻域、点列的极限. 性质. 二、开集、闭集、区域. 内点 :. 外点:. 边界点:. 例 1. 例 2. 开集:. 例 3. 聚点:. 性质:. 闭集:. 例 4. 区域:. 区域. 不是区域. 有界:. 三、平面点集的几个基本定理. 矩形套定理:. 致密性定理:. 有限覆盖定理:. 收敛原理:.

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Chapt 13. 多元函数的极限与连续

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  1. Chapt 13. 多元函数的极限与连续 §1. 平面点集 §2. 多元函数的极限和连续性

  2. 一、邻域、点列的极限

  3. 性质

  4. 二、开集、闭集、区域 内点: 外点: 边界点:

  5. 例1.

  6. 例2.

  7. 开集: 例3. 聚点: 性质:

  8. 闭集: 例4. 区域: 区域 不是区域

  9. 有界: 三、平面点集的几个基本定理 矩形套定理:

  10. 致密性定理: 有限覆盖定理: 收敛原理:

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