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Compute the indicated limit.$$\lim _{x \rightarrow-\infty} \frac{3 x^{5}-7 x+2}{x^{4}-7}$$

$$-\mathrm{q}$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

Campbell University

Harvey Mudd College

Idaho State University

Boston College

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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Hello. We have to find the limit. Access to NPT Limit extends to matters of infinity three. Export of five minus seven X plus two minus seven. Expects to upon X to the power of four minus seven. So we will write it like this limit extends to minus of infinity. Actually, power is five we believe take common. So three minus seven by exporter of four plus two upon X power of five of one. Actually before we will take comments so it will stand by exporter of four. So here we will X to the power of food. And this we can slope and we will put the limits readily. Minors off in 23 minutes. Zero plus zero upon one minus zero. So it will request to minus of NPT. I hope your next year Thank you.

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