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Compute the indicated limit.$$\lim _{x \rightarrow \infty} \frac{2 x^{3}-7}{x+1}$$

$$\mathrm{q}$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Missouri State University

Baylor University

University of Nottingham

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.

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Evaluate the limit ...

Hello. We have to compute this limit. Extension printed limit extends to infinity two X, Q. 172 XQ minus seven upon explosive one. Okay, so limit extends to infinity. We take, we will take actually coming from that narrators who it will be to minus seven. Y x Q And from the denominator, we will take X is comin from the denominators. It will be one plus one way X The value of this really X squared two minus seven by X cube upon one plus one by X limit extends to infinity. Okay, it be for this limit. Then it will be. Uh huh. Andy two upon one will be close to in painting. I hope we understood. Thank you.

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