極限公式一覽表（學越千山函數的極限）

2023-05-09 17:23:00 3

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今天小編為大家帶來「函數的極限」，

歡迎您的訪問。

Share interest, spread happiness, increase knowledge, and leave beautiful!

Dear, this is the LearningYard Academy!

Today, the editor brings the 「函數的極限」.

Welcome to visit.‍

函數的極限在數學中運用非常廣泛，函數的單調性、圖像、導數，定理的證明都需要用到它。這一節分為函數的定義和函數的性質兩部分。

The limit of function is widely used in mathematics. It is necessary to prove the monotonicity, image, derivative and theorem of function. This section is divided into two parts: the definition of function and the nature of function.‍

學習數學要注意三點：

1、 數形結合

2、 理解記憶

3、 知道用在哪裡

Three points should be paid attention to when learning mathematics:

1. Combination of number and shape

2. Understanding memory

3. Know where to use‍

今天我們來重點了解一下函數的性質：

Today we will focus on the properties of functions:‍

唯一性

可理解為：這個函數在這一點的極限只有兩種可能，沒有或只有一個。（因為函數的定義中自變量x通過對應法則有唯一確定的函數值y）

Uniqueness

It can be understood as: there are only two possibilities for the limit of this function at this point, no or only one. (Because the independent variable x in the definition of a function has a uniquely determined function value y through the corresponding rule)

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局部有界性

即函數在極限點的去心領域內有界，而定義域內不一定有界。判斷函數在某區間有無界時可用。

Local boundedness

That is, the function is bounded in the de centering domain of the limit point, but not necessarily in the definition domain

The judgment function is available when an interval is unbounded.‍

局部保號性

即函數在極限點（不為零）的去心領域內函數值符號不變。

可在需確定值得符號或求一定範圍的符號時使用。

Local number preservation

That is, the sign of the function value remains unchanged in the de centering domain of the function at the limit point (not zero).

It can be used when the symbol to determine the value or the symbol to calculate a certain range.

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please leave us a message,

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參考資料：百度翻譯、高等數學第七版（同濟大學數學系 編）

本文由LearningYard新學苑整理並發出，如有侵權請後臺留言溝通。‍