CSCAPrep
Reviewed CSCA STEM Chinese question · Standard

在高等数学中,若函数在某一点的左极限和右极限都存在且相等,则称该函数在这一点的极限。

  1. 存在
  2. 不存在
  3. 为无穷大
  4. 等于函数值
Show the answer and explanation

Correct answer

A. 存在

Principle or equation

函数在某点极限存在的充要条件是左右极限存在且相等。

Why this answer is correct

根据极限定义,左右极限相等是极限存在的充分必要条件。

Example

f(x)=x在x=0处左右极限均为0,所以极限存在。

This published item includes a stored explanation and passed the platform’s publication workflow. It is independent preparation material, not a claim of an official or recalled examination question.

Related practice questions