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Compute the indicated limit.$$\lim _{x \rightarrow 2^{-}} \frac{x-2}{x^{2}-4}$$

$$1 / 4$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

00:42

Find the indicated limit.<…

02:52

Find the limit.$$\lim …

00:58

Find the limits.$$…

00:31

02:03

Find limit

Hello. They have to. They valued the limit extends to two minutes. Limit extends to minus X minus two upon ex minister upon access card minus four So we can write. A limit extends to two miners. Xmas to upon Xmas two multiplied by X plus two So it will be caused to limit extends to minus one upon X plus two. And we will put the limits. It will be close to one upon two plus two because 21 by four I hope you understood. And this limited approaches to that one y four Mhm. Okay, uh, several years. Yeah, one way for I hope your district.

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